Metrics for Equirectangular approximation to distance on a great circle

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 34 to 16 computations (52.9% saved)

sample1.7s (18.7%)

Memory

3.7MiB live, 1 480.6MiB allocated; 218ms collecting garbage

Samples

759.0ms	6 437×	0	valid
520.0ms	1 819×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 952.0ms

ival-mult: 192.0ms (20.2% of total)

ival-cos: 189.0ms (19.9% of total)

ival-hypot: 173.0ms (18.2% of total)

ival-add: 133.0ms (14% of total)

ival-sub: 100.0ms (10.5% of total)

adjust: 79.0ms (8.3% of total)

ival-div: 71.0ms (7.5% of total)

ival-true: 6.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain413.0ms (4.7%)

Memory

-6.7MiB live, 329.0MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
173	0	-	-	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
54	128	(4.2590779230942097e+80 6.73881191531329e+67 2.0468702685353445e+47 1.4530773986206773e+302 -1.0066654118164043e-285)	-	`(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))`
0	0	-	-	`(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))`
0	0	-	-	`lambda2`
0	0	-	-	`(+.f64 phi1 phi2)`
0	0	-	-	`phi2`
0	0	-	-	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
0	0	-	-	`(-.f64 lambda1 lambda2)`
0	0	-	-	`(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))`
0	0	-	-	`R`
0	0	-	-	`lambda1`
0	0	-	-	`phi1`
0	0	-	-	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))`
0	0	-	-	`(-.f64 phi1 phi2)`
0	0	-	-	`(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))`	sensitivity	182	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`	oflow-rescue	172	0
↳	`(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))`	overflow	96
↳	`(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))`	overflow	118
↳	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`	overflow	172
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`	uflow-rescue	1	0
↳	`(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))`	underflow	13
↳	`(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))`	underflow	12
↳	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`	underflow	1

Confusion

	Predicted +	Predicted -
+	100	0
-	120	36

Precision

0.45454545454545453

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	120	0	36

Precision?

0.45454545454545453

Recall?

1.0

Freqs

test

number	freq
0	36
1	85
2	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

145.0ms	358×	1	valid
52.0ms	154×	0	valid

Compiler

Compiled 346 to 55 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-hypot: 46.0ms (33.6% of total)

ival-mult: 24.0ms (17.5% of total)

ival-cos: 24.0ms (17.5% of total)

adjust: 19.0ms (13.9% of total)

ival-sub: 8.0ms (5.8% of total)

ival-add: 8.0ms (5.8% of total)

ival-div: 6.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess208.0ms (2.3%)

Memory

-3.9MiB live, 137.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	675
1	502	669
2	1661	669
3	5245	669
0	17	32
0	28	32
1	60	32
2	163	32
3	463	32
4	1268	32
5	3278	32
0	8254	16

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R)

Symmetry

(negabs R)

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 32 to 17 computations (46.9% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Status

Accuracy

Program

▶

62.8%

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

Compiler

Compiled 32 to 17 computations (46.9% saved)

simplify147.0ms (1.7%)

Memory

34.5MiB live, 122.6MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
cost-diff	0	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
cost-diff	1	(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
cost-diff	15	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	155
0	28	155
1	60	155
2	163	155
3	463	155
4	1268	155
5	3278	155
0	8254	122

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (hypot.f64 (-.f64 phi2 phi1) (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R)
R
(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(fma.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))
(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))
(/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))
(+.f64 phi1 phi2)
(+.f64 phi2 phi1)
phi1
phi2
#s(literal 2 binary64)
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))
(*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))
(-.f64 phi1 phi2)

localize147.0ms (1.7%)

Memory

-45.8MiB live, 64.3MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
accuracy	0.19988251953688402	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
accuracy	11.21665374085833	(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy	40.11599901304955	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Samples

82.0ms	179×	1	valid
53.0ms	77×	0	valid

Compiler

Compiled 157 to 19 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 55.0ms (51.8% of total)

ival-add: 15.0ms (14.1% of total)

ival-cos: 12.0ms (11.3% of total)

adjust: 9.0ms (8.5% of total)

ival-hypot: 7.0ms (6.6% of total)

ival-sub: 4.0ms (3.8% of total)

ival-div: 3.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory

11.8MiB live, 56.6MiB allocated; 10ms collecting garbage

Counts

6 → 179

Calls

Call 1

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

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (pow phi2 2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))))

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	phi1	@	0	((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
6.0ms	phi1	@	-inf	((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
5.0ms	phi2	@	0	((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
4.0ms	lambda2	@	0	((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
4.0ms	lambda1	@	0	((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))

simplify250.0ms (2.8%)

Memory

32.0MiB live, 166.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1071	12270
1	3594	12218
0	8355	10432

Stop Event

1×	iter limit
1×	node limit

Counts

179 → 179

Calls

Call 1

Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (pow phi2 2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))))

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) R))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (.f64 (.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
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#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 R (.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
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#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
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#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
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#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 lambda2) lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (.f64 (.f64 #s(literal 2 binary64) lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) lambda1) #s(literal -1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (.f64 lambda1 lambda1)))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (.f64 (.f64 (neg.f64 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (fma.f64 (.f64 #s(literal -2 binary64) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (.f64 (.f64 R lambda1) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (.f64 R lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (.f64 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (pow phi2 2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (+.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 phi1 phi1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (.f64 phi2 phi2))) (*.f64 phi2 phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (.f64 #s(literal -1/2 binary64) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (.f64 #s(literal -1/2 binary64) (fma.f64 R (.f64 phi1 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) phi1 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 phi1)) (neg.f64 phi2))) phi2) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2) #s(literal -1 binary64) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 R phi1 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 R (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 R (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))

rewrite105.0ms (1.2%)

Memory

-38.3MiB live, 106.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	128
0	28	86
1	109	86
0	966	76

Stop Event

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

Counts

6 → 206

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi1 phi2))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
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(.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(.f64 (neg.f64 (fabs.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(.f64 (fabs.f64 (fabs.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (-.f64 lambda1 lambda2))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(.f64 (fabs.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))
(pow.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(neg.f64 (.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(neg.f64 (.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(fabs.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))
(-.f64 (.f64 (cos.f64 (/.f64 phi1 #s(literal 2 binary64))) (cos.f64 (/.f64 phi2 #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 phi1 #s(literal 2 binary64))) (sin.f64 (/.f64 phi2 #s(literal 2 binary64)))))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (+.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (.f64 lambda1 lambda1)))
(/.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (.f64 lambda1 lambda1)))

eval75.0ms (0.8%)

Memory: 28.1MiB live, 118.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 20 650 to 2 021 computations (90.2% saved)

prune41.0ms (0.5%)

Memory

5.5MiB live, 52.6MiB allocated; 2ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	405	22	427
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	22	428

Accuracy

97.6%

Counts

428 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
	27.7%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))
	25.1%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
	22.7%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
	73.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
▶	75.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
	50.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
	16.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
▶	9.9%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
	23.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
	26.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
▶	13.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
	31.2%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
▶	31.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
	53.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
	36.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (neg.f64 R) (.f64 lambda1 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2))
	18.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
	11.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
	26.5%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
	23.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
	13.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
▶	52.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))

Compiler

Compiled 1 934 to 1 052 computations (45.6% saved)

simplify137.0ms (1.5%)

Memory

-6.7MiB live, 87.5MiB allocated; 17ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 lambda2)
cost-diff	0	(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
cost-diff	0	(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
cost-diff	0	(neg.f64 phi1)
cost-diff	0	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
cost-diff	3	(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
cost-diff	0	(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	474
0	67	474
1	154	474
2	422	474
3	1135	472
4	2856	468
5	6154	468
0	8088	324

Stop Event

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

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(*.f64 #s(literal -1/2 binary64) phi1)
#s(literal -1/2 binary64)
phi1
(-.f64 lambda1 lambda2)
lambda1
lambda2
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
(neg.f64 phi1)
phi1
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(neg.f64 R)
R
(/.f64 phi2 phi1)
phi2
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
lambda1
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
lambda2
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1

Outputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal -1/2 binary64) phi1)
#s(literal -1/2 binary64)
phi1
(-.f64 lambda1 lambda2)
lambda1
lambda2
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (.f64 phi2 #s(literal 1 binary64)) phi1) R))
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
(.f64 (-.f64 (.f64 phi2 #s(literal 1 binary64)) phi1) R)
(neg.f64 phi1)
phi1
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)
(neg.f64 R)
R
(/.f64 phi2 phi1)
phi2
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
lambda1
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
lambda2
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1

localize177.0ms (2%)

Memory

16.7MiB live, 167.1MiB allocated; 30ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
accuracy	0.171875	(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
accuracy	11.21665374085833	(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy	58.74969513401673	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
accuracy	0.15234375	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
accuracy	11.21665374085833	(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy	57.04334592828	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
accuracy	0.0	(neg.f64 R)
accuracy	2.895357712036625	(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
accuracy	4.067740747981954	(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
accuracy	27.730443092202815	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
accuracy	47.18610663934274	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
accuracy	0.00390625	(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
accuracy	0.09375	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
accuracy	22.76766925431508	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))

Samples

111.0ms	179×	1	valid
29.0ms	77×	0	valid

Compiler

Compiled 415 to 33 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 20.0ms (23.1% of total)

ival-cos: 20.0ms (23.1% of total)

adjust: 13.0ms (15% of total)

ival-add: 12.0ms (13.9% of total)

ival-hypot: 10.0ms (11.6% of total)

ival-div: 6.0ms (6.9% of total)

ival-sub: 3.0ms (3.5% of total)

ival-neg: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (1.1%)

Memory

-13.1MiB live, 77.6MiB allocated; 9ms collecting garbage

Counts

19 → 198

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(neg.f64 phi1)
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
(neg.f64 R)

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* R (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (neg R) #s(hole binary64 (* -1 R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* -1 (* R (- (/ phi2 phi1) 1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))))
#s(approx (neg lambda2) #s(hole binary64 (* -1 lambda2)))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))))
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#s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (* lambda1 (cos (* -1/2 phi1)))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (+ (* 1/2 (* lambda1 (* phi2 (sin (* -1/2 phi1))))) (* lambda1 (cos (* -1/2 phi1))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (+ (* lambda1 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda1 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda1 (sin (* -1/2 phi1)))))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (+ (* lambda1 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda1 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda1 (cos (* -1/2 phi1)))) (* -1/48 (* lambda1 (* phi2 (sin (* -1/2 phi1))))))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi1))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* -1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi1)))) (* 1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* 1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* 1/8 (* lambda2 (cos (* -1/2 phi1)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))))))

Calls

15 calls:

Time	Variable		Point	Expression
38.0ms	R	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (neg R))
13.0ms	phi1	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (neg R))
7.0ms	phi1	@	inf	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (neg R))
4.0ms	lambda1	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (neg R))
4.0ms	lambda2	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (neg R))

simplify262.0ms (2.9%)

Memory

-15.8MiB live, 165.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1273	12018
1	4249	11916
0	8883	9867

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 198

Calls

Call 1

Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* R (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (neg R) #s(hole binary64 (* -1 R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* -1 (* R (- (/ phi2 phi1) 1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))))
#s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi1))))))
#s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
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#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))))
#s(approx (neg lambda2) #s(hole binary64 (* -1 lambda2)))
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#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))))))

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* R (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) R))
#s(approx (neg R) #s(hole binary64 (* -1 R)))
#s(approx (neg R) (neg.f64 R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* -1 (* R (- (/ phi2 phi1) 1)))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (neg.f64 R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (.f64 (.f64 R lambda1) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 R lambda1) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (.f64 phi1 phi1))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (.f64 phi1 phi1))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (.f64 phi1 phi1)))))) lambda2 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))))
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#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (neg lambda2) #s(hole binary64 (* -1 lambda2)))
#s(approx (neg lambda2) (neg.f64 lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 R (/.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 R (/.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) lambda2))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
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#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (* lambda1 (cos (* -1/2 phi1)))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (+ (* 1/2 (* lambda1 (* phi2 (sin (* -1/2 phi1))))) (* lambda1 (cos (* -1/2 phi1))))))
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#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (+ (* lambda1 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda1 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda1 (sin (* -1/2 phi1)))))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) lambda1) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (.f64 (.f64 (.f64 lambda1 phi2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal -1/8 binary64))) phi2 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (+ (* lambda1 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda1 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda1 (cos (* -1/2 phi1)))) (* -1/48 (* lambda1 (* phi2 (sin (* -1/2 phi1))))))))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) lambda1) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) phi2) (.f64 (.f64 #s(literal -1/8 binary64) lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) phi2 (.f64 (.f64 #s(literal 1/2 binary64) lambda1) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) phi2 (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi1))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* -1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (.f64 #s(literal -1/2 binary64) lambda2) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) phi2) (.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi1)))) (* 1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) lambda2) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) phi2) (.f64 (.f64 #s(literal -1/2 binary64) lambda2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* 1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* 1/8 (* lambda2 (cos (* -1/2 phi1)))))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (.f64 (.f64 (.f64 lambda2 phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/48 binary64))) phi2 (.f64 (.f64 #s(literal -1/2 binary64) lambda2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (.f64 #s(literal -1/2 binary64) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (.f64 #s(literal -1/2 binary64) (fma.f64 R (.f64 phi1 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2) #s(literal -1 binary64) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 phi1 R (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 R (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 R (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) #s(hole binary64 (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2)))))))
#s(approx (* (cos (* -1/2 (+ phi2 phi1))) lambda1) (.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) lambda1))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) (neg.f64 lambda2)))

rewrite84.0ms (0.9%)

Memory

40.5MiB live, 83.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	419
0	67	320
1	240	320
0	1991	275

Stop Event

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

Counts

19 → 179

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(neg.f64 phi1)
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
(neg.f64 R)

Outputs
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) phi1)) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) phi1))
(.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 phi1 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 3 binary64)) (pow.f64 phi1 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) phi1) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 phi1 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 phi1))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 phi1))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) phi1)
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 phi1))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 phi1))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) phi1)
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 phi1))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 phi1))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))) phi1)
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (fabs.f64 phi1))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (neg.f64 phi1))
(hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) phi1)
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 phi1))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 phi1))
(hypot.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) phi1)
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 phi1))
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 phi1))
(hypot.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))) phi1)
(hypot.f64 (fabs.f64 phi1) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (fabs.f64 phi1) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (fabs.f64 phi1) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (fabs.f64 phi1) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 phi1) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (fabs.f64 phi1) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (fabs.f64 phi1) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 phi1) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 phi1) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 phi1) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 phi1) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 phi1) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 phi1) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 phi1) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (pow.f64 phi1 #s(literal 1 binary64)))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 phi1))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 phi1))
(hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) phi1)
(hypot.f64 phi1 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 phi1 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 phi1 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)))
(hypot.f64 phi1 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 phi1 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))
(hypot.f64 phi1 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(exp.f64 (.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(/.f64 (.f64 (.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (+.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))
(*.f64 phi1 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (.f64 R R)) (neg.f64 phi1)) (-.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) R))
(/.f64 (.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (neg.f64 phi1)) (fma.f64 R (-.f64 R (.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 phi1) (-.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (.f64 R R))) (-.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) R))
(/.f64 (.f64 (neg.f64 phi1) (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (fma.f64 R (-.f64 R (.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1))) (.f64 (.f64 (neg.f64 phi1) R) (.f64 (neg.f64 phi1) R))) (-.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 phi1) R) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (-.f64 (.f64 (.f64 (neg.f64 phi1) R) (.f64 (neg.f64 phi1) R)) (.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (.f64 (neg.f64 phi1) R)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) phi1))
(fma.f64 (.f64 (neg.f64 phi1) (/.f64 phi2 phi1)) (neg.f64 R) (.f64 (neg.f64 phi1) R))
(fma.f64 (.f64 (neg.f64 phi1) (neg.f64 R)) (/.f64 phi2 phi1) (.f64 (neg.f64 phi1) R))
(fma.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1) (.f64 (neg.f64 phi1) R))
(fma.f64 (/.f64 phi2 phi1) (.f64 (neg.f64 R) (neg.f64 phi1)) (.f64 (neg.f64 phi1) R))
(fma.f64 (neg.f64 R) (.f64 (/.f64 phi2 phi1) (neg.f64 phi1)) (.f64 (neg.f64 phi1) R))
(fma.f64 (neg.f64 phi1) (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (.f64 (neg.f64 phi1) R))
(fma.f64 (neg.f64 phi1) R (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)))
(fma.f64 R (neg.f64 phi1) (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)))
(-.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 phi1 R))
(-.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 R) (neg.f64 phi1)))
(-.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 (neg.f64 phi1)) R))
(+.f64 (.f64 (neg.f64 phi1) R) (.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)))
(+.f64 (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)))
(neg.f64 phi1)
(/.f64 (-.f64 (.f64 R R) (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))) (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (.f64 R R))) (neg.f64 (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)))
(/.f64 (neg.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 R (-.f64 R (.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (.f64 R R)) (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R))
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 R R (-.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (.f64 (/.f64 phi2 phi1) (.f64 (neg.f64 R) R)))))
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 R (-.f64 R (.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))))
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(fma.f64 R (neg.f64 (/.f64 phi2 phi1)) R)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)) (/.f64 (.f64 R R) (-.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)))
(-.f64 R (*.f64 (neg.f64 (/.f64 phi2 phi1)) (neg.f64 R)))
(-.f64 R (*.f64 (neg.f64 (neg.f64 R)) (/.f64 phi2 phi1)))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(+.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (fma.f64 R (-.f64 R (.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))) (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R (-.f64 R (.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)
(+.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(.f64 lambda1 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda2))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))
(neg.f64 lambda2)
(neg.f64 R)

eval59.0ms (0.7%)

Memory: 3.8MiB live, 96.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 24 741 to 1 921 computations (92.2% saved)

prune49.0ms (0.6%)

Memory

7.5MiB live, 101.8MiB allocated; 3ms collecting garbage

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	362	30	392
Fresh	11	6	17
Picked	4	1	5
Done	0	0	0
Total	377	37	414

Accuracy

99.3%

Counts

414 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
	22.7%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
▶	73.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
	70.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
	55.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
	13.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) lambda1)))
	15.7%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda1)))
	10.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
	11.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))))
▶	8.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	10.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	11.9%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))))
▶	7.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
	6.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
	26.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
	12.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1)))
	9.7%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
	10.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
▶	31.2%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
	17.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) lambda2) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) phi2) (.f64 (.f64 #s(literal -1/2 binary64) lambda2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))))
	56.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))
	25.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
	27.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
✓	31.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
	53.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
	36.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (neg.f64 R) (.f64 lambda1 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2))
	18.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
	26.5%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	13.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	10.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	23.0%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
▶	57.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
	60.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
	55.5%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
	52.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
	50.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
	49.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))

Compiler

Compiled 3 664 to 2 030 computations (44.6% saved)

simplify154.0ms (1.7%)

Memory

-29.8MiB live, 155.7MiB allocated; 19ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
cost-diff	3	(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	0	(neg.f64 lambda2)
cost-diff	0	(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
cost-diff	0	(neg.f64 phi1)
cost-diff	0	(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)))
cost-diff	0	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
cost-diff	2	(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
cost-diff	0	(neg.f64 phi1)
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
cost-diff	0	(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	570
0	88	558
1	192	555
2	463	545
3	1145	545
4	2827	545
5	7250	545
0	8090	401

Stop Event

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

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)))
(neg.f64 phi1)
phi1
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))
(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
(neg.f64 R)
R
phi2
(*.f64 phi1 R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(neg.f64 lambda2)
lambda2
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 lambda2)
lambda2
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)

Outputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) (neg.f64 phi1)))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)))
(.f64 #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
(*.f64 (-.f64 phi1 phi2) R)
(neg.f64 R)
R
phi2
(*.f64 phi1 R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2)))
(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2))
(neg.f64 lambda2)
lambda2
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)))
(*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))
(neg.f64 lambda2)
lambda2
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)

localize316.0ms (3.6%)

Memory

10.1MiB live, 259.8MiB allocated; 120ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
accuracy	0.171875	(*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	40.555720494196486	(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	58.74969513401673	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))))
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
accuracy	0.171875	(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
accuracy	25.883957735583543	#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
accuracy	58.74969513401673	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
accuracy	0.0078125	(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
accuracy	4.067740747981954	(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)))
accuracy	10.969196420287732	(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
accuracy	27.730443092202815	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
accuracy	0.0	(neg.f64 phi1)
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
accuracy	48.63514111918008	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
accuracy	0.00390625	(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
accuracy	0.11328125	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
accuracy	23.07040739311389	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))

Samples

188.0ms	182×	1	valid
76.0ms	74×	0	valid

Compiler

Compiled 453 to 45 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 67.0ms (38.7% of total)

ival-cos: 25.0ms (14.4% of total)

ival-div: 24.0ms (13.9% of total)

adjust: 19.0ms (11% of total)

ival-hypot: 10.0ms (5.8% of total)

ival-sin: 10.0ms (5.8% of total)

ival-add: 9.0ms (5.2% of total)

ival-sub: 3.0ms (1.7% of total)

ival-neg: 3.0ms (1.7% of total)

ival-pi: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.8%)

Memory

20.4MiB live, 112.4MiB allocated; 8ms collecting garbage

Counts

20 → 217

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(neg.f64 lambda2)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* R (+ phi1 (* -1 phi2)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (/ (* R (+ phi1 (* -1 phi2))) phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* R (+ phi2 (* -1 phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (/ (* R (+ phi2 (* -1 phi1))) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
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#s(approx (neg lambda2) #s(hole binary64 (* -1 lambda2)))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 (PI)) (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (+ (* -1 (* R phi2)) (* R phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R phi2)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* -1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi2)))) (* 1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))))))))
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#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 phi2) (* 1/2 (PI)))) (* 1/2 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI)))))))))
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#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* -1/2 (* lambda2 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI))))))))))
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#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* phi1 (+ (* -1/2 (* lambda2 (cos (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* phi1 (+ (* 1/48 (* lambda2 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI))))))) (* 1/8 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
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#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* R phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))))
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#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 R))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
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#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi2 (* -1 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
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#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* -1/2 (* lambda2 (* phi2 (cos (+ (* 1/2 phi1) (* 1/2 (PI))))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* phi2 (+ (* -1/2 (* lambda2 (cos (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* 1/8 (* lambda2 (* phi2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* phi2 (+ (* -1/2 (* lambda2 (cos (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* phi2 (+ (* 1/48 (* lambda2 (* phi2 (cos (+ (* 1/2 phi1) (* 1/2 (PI))))))) (* 1/8 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi1 (* -1 phi2)))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	phi1	@	inf	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* (neg R) phi2) (* phi1 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (cos (* -1/2 (+ phi2 phi1))))
6.0ms	R	@	-inf	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* (neg R) phi2) (* phi1 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (cos (* -1/2 (+ phi2 phi1))))
5.0ms	lambda2	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* (neg R) phi2) (* phi1 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (cos (* -1/2 (+ phi2 phi1))))
4.0ms	phi2	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* (neg R) phi2) (* phi1 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (cos (* -1/2 (+ phi2 phi1))))
4.0ms	phi1	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* (neg R) phi2) (* phi1 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (cos (* -1/2 (+ phi2 phi1))))

simplify297.0ms (3.3%)

Memory

7.5MiB live, 233.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1358	12528
1	4516	12393
0	9345	10335

Stop Event

1×	iter limit
1×	node limit

Counts

217 → 217

Calls

Call 1

Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* R (+ phi1 (* -1 phi2)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (/ (* R (+ phi1 (* -1 phi2))) phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* R (+ phi2 (* -1 phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (/ (* R (+ phi2 (* -1 phi1))) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda1 (cos (* -1/2 phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (cos (* -1/2 phi2)))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (+ (* -1 (* R phi2)) (* R phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R phi2)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* -1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi2)))) (* 1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* 1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* 1/8 (* lambda2 (cos (* -1/2 phi2)))))))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 phi2) (* 1/2 (PI)))) (* 1/2 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI)))))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 phi2) (* 1/2 (PI)))) (* phi1 (+ (* -1/8 (* phi1 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* 1/2 (cos (+ (* 1/2 phi2) (* 1/2 (PI))))))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 phi2) (* 1/2 (PI)))) (* phi1 (+ (* 1/2 (cos (+ (* 1/2 phi2) (* 1/2 (PI))))) (* phi1 (+ (* -1/8 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))) (* -1/48 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI)))))))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* -1/2 (* lambda2 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI))))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* phi1 (+ (* -1/2 (* lambda2 (cos (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* 1/8 (* lambda2 (* phi1 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))))))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* phi1 (+ (* -1/2 (* lambda2 (cos (+ (* 1/2 phi2) (* 1/2 (PI)))))) (* phi1 (+ (* 1/48 (* lambda2 (* phi1 (cos (+ (* 1/2 phi2) (* 1/2 (PI))))))) (* 1/8 (* lambda2 (sin (+ (* 1/2 phi2) (* 1/2 (PI)))))))))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (/ (* R phi2) phi1))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (/ (+ (* -1 (* R phi2)) (* R phi1)) phi1)))
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#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* R phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (+ phi1 phi2))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 R))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (+ R (* -1 (/ (* R phi2) phi1)))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (+ phi1 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* phi1 (+ (* -1 R) (/ (* R phi2) phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi2 (* -1 phi1)))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi2 (* -1 phi1)))))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi1 (* -1 phi2)))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* R (+ phi1 (* -1 phi2)))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi2 phi1) R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (/ (* R (+ phi1 (* -1 phi2))) phi1)))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (*.f64 R (/.f64 (fma.f64 #s(literal -1 binary64) phi2 phi1) phi1)))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* R (+ phi2 (* -1 phi1))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) (neg.f64 R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (/ (* R (+ phi2 (* -1 phi1))) phi1))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (*.f64 (neg.f64 R) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (.f64 (.f64 R lambda1) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 R lambda1) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 phi2 phi2))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 phi2 phi2))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) lambda2 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
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#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (neg lambda2) #s(hole binary64 (* -1 lambda2)))
#s(approx (neg lambda2) (neg.f64 lambda2))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 (PI)) (* 1/2 (+ phi1 phi2))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 R (/.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 R (/.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) phi1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))) (.f64 (.f64 (fma.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) phi1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))))))) phi1 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) phi1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (neg phi1) (neg.f64 phi1))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (neg.f64 R) phi2))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (+ (* -1 (* R phi2)) (* R phi1))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi2 phi1) R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R phi2)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 phi2 R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* -1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))
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#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 phi2) (* 1/2 (PI))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (.f64 #s(literal -1/2 binary64) (fma.f64 R (.f64 phi2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) phi1))
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#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 R))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) R)
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (+ R (* -1 (/ (* R phi2) phi1)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) R))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 phi2) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 phi2) (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 phi2) (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) (neg.f64 lambda2)))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi1 (* -1 phi2)))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (-.f64 phi1 (neg.f64 phi2))))))
#s(approx (* (neg lambda2) (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2)))) #s(hole binary64 (* -1 (* lambda2 (sin (+ (* 1/2 (PI)) (* 1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 lambda2)))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (/ (+ (* (neg R) phi2) (* phi1 R)) phi1) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (sin (+ (* 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))

rewrite124.0ms (1.4%)

Memory

-3.0MiB live, 52.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	491
0	88	380
1	325	378
0	2603	333

Stop Event

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

Counts

20 → 204

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(neg.f64 lambda2)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))

Outputs
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) phi2))
(.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 phi2 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) phi2) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 phi2 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 phi2))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) (fabs.f64 phi2))
(hypot.f64 (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) phi2)
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 phi2))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 phi2))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) phi2)
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) (pow.f64 phi2 #s(literal 1 binary64)))
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(hypot.f64 (neg.f64 phi2) (neg.f64 (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 phi2) (neg.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 phi2) (fabs.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 phi2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 phi2) (.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 phi2) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 phi2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
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(hypot.f64 phi2 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))
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(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
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(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
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(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R)
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
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(fma.f64 (neg.f64 R) phi2 (*.f64 (neg.f64 (neg.f64 phi1)) R))
(fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))
(fma.f64 phi2 (neg.f64 R) (*.f64 (neg.f64 (neg.f64 phi1)) R))
(fma.f64 phi2 (neg.f64 R) (*.f64 phi1 R))
(fma.f64 phi1 R (*.f64 (neg.f64 R) phi2))
(fma.f64 R (neg.f64 phi2) (*.f64 (neg.f64 (neg.f64 phi1)) R))
(fma.f64 R (neg.f64 phi2) (*.f64 phi1 R))
(fma.f64 R phi1 (*.f64 (neg.f64 R) phi2))
(-.f64 (/.f64 (pow.f64 (.f64 (neg.f64 R) phi2) #s(literal 2 binary64)) (fma.f64 (neg.f64 R) phi2 (.f64 (neg.f64 R) phi1))) (/.f64 (pow.f64 (.f64 phi1 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 R) phi2 (.f64 (neg.f64 R) phi1))))
(-.f64 (.f64 (neg.f64 R) phi2) (.f64 (neg.f64 R) phi1))
(-.f64 (.f64 (neg.f64 R) phi2) (.f64 (neg.f64 phi1) R))
(-.f64 (.f64 phi1 R) (.f64 (neg.f64 (neg.f64 R)) phi2))
(-.f64 (.f64 phi1 R) (.f64 (neg.f64 phi2) (neg.f64 R)))
(-.f64 (.f64 phi1 R) (.f64 phi2 R))
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(+.f64 (.f64 (neg.f64 R) phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 (neg.f64 R) phi2))
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(.f64 phi1 (neg.f64 #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
(neg.f64 (.f64 #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)) phi1))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2))) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2)))
(.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda2))
(.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(.f64 lambda2 (neg.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(neg.f64 (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2))
(neg.f64 lambda2)
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))))
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(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal -1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal -1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (.f64 #s(literal 1/2 binary64) phi1))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 (neg.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))
(.f64 (neg.f64 lambda2) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(neg.f64 (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (neg.f64 lambda2) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (neg.f64 lambda2)))
(fma.f64 (neg.f64 lambda2) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (.f64 (neg.f64 lambda2) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (neg.f64 lambda2)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (neg.f64 lambda2)))
(+.f64 (.f64 (neg.f64 lambda2) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) (.f64 (neg.f64 lambda2) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 phi1 R) phi1) (/.f64 (.f64 phi1 R) phi1))) (-.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (/.f64 (.f64 phi1 R) phi1)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 phi1 R) phi1) (/.f64 (.f64 phi1 R) phi1)) (.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (/.f64 (*.f64 phi1 R) phi1)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)))) (neg.f64 (neg.f64 phi1)))
(/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1))
(/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 R) phi2) #s(literal 2 binary64)) (pow.f64 (.f64 phi1 R) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 R) phi2 (.f64 (neg.f64 R) phi1)) phi1))
(/.f64 (+.f64 (pow.f64 (.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 R) phi2) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 phi1 R) (-.f64 (.f64 phi1 R) (.f64 (neg.f64 R) phi2)) (pow.f64 (*.f64 (neg.f64 R) phi2) #s(literal 2 binary64))) phi1))
(/.f64 (neg.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))) (neg.f64 phi1))
(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R))) phi1))
(neg.f64 (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) (neg.f64 phi1)))
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R)))
(fma.f64 R (/.f64 phi1 phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R)))
(fma.f64 R (neg.f64 (/.f64 phi2 phi1)) (/.f64 (*.f64 phi1 R) phi1))
(-.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (/.f64 (.f64 (neg.f64 phi1) R) phi1))
(+.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 phi2 phi1) (neg.f64 R)))
(+.f64 (.f64 (/.f64 phi2 phi1) (neg.f64 R)) (/.f64 (.f64 phi1 R) phi1))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))

eval76.0ms (0.9%)

Memory: 6.4MiB live, 51.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 27 245 to 2 217 computations (91.9% saved)

prune947.0ms (10.7%)

Memory

-107.3MiB live, 75.2MiB allocated; 1.3s collecting garbage

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	406	16	422
Fresh	7	24	31
Picked	2	3	5
Done	0	1	1
Total	415	44	459

Accuracy

99.4%

Counts

459 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
	22.7%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
▶	70.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
▶	55.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
	70.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
	55.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
	13.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) lambda1)))
	15.7%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda1)))
	10.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
	11.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal -1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))))
	10.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	11.9%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))))
	6.9%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
	6.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
	6.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
✓	7.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
	12.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1)))
	9.7%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
	10.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
✓	31.2%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
	17.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) lambda2) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) phi2) (.f64 (.f64 #s(literal -1/2 binary64) lambda2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))))
	22.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
	27.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
	56.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))
	25.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
	27.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
✓	31.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
	53.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
	36.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (neg.f64 R) (.f64 lambda1 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2))
	18.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
	26.5%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
▶	13.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	10.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	23.0%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
▶	59.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
	45.0%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
	34.1%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
✓	57.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
	53.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
	60.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
	52.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
▶	56.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
	50.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
	49.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))

Compiler

Compiled 4 414 to 2 432 computations (44.9% saved)

simplify160.0ms (1.8%)

Memory

-68.1MiB live, 84.8MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
cost-diff	0	(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
cost-diff	0	(*.f64 R lambda1)
cost-diff	0	(.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
cost-diff	0	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
cost-diff	0	(neg.f64 phi1)
cost-diff	0	(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))))
cost-diff	0	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
cost-diff	4	(/.f64 (*.f64 phi1 R) phi1)
cost-diff	0	(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)
cost-diff	0	#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
cost-diff	0	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) phi1 phi2)
cost-diff	0	#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
cost-diff	0	(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
cost-diff	0	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
cost-diff	0	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	559
0	89	555
1	196	546
2	524	528
3	1285	520
4	3335	520
0	8322	408

Stop Event

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

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)
(fma.f64 #s(literal -1 binary64) phi1 phi2)
#s(literal -1 binary64)
phi1
phi2
R
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))))
(neg.f64 phi1)
phi1
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))
(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
phi2
(/.f64 (neg.f64 R) phi1)
(neg.f64 R)
R
(/.f64 (*.f64 phi1 R) phi1)
(*.f64 phi1 R)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
R
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
lambda1

Outputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (-.f64 phi2 phi1) R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (-.f64 phi2 phi1) R))
(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)
(*.f64 (-.f64 phi2 phi1) R)
(fma.f64 #s(literal -1 binary64) phi1 phi2)
(-.f64 phi2 phi1)
#s(literal -1 binary64)
phi1
phi2
R
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (/.f64 (-.f64 phi1 phi2) phi1) R)) (neg.f64 phi1)))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))))
(.f64 #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (/.f64 (-.f64 phi1 phi2) phi1) R)) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))
#s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (/.f64 (-.f64 phi1 phi2) phi1) R))
(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
(*.f64 (/.f64 (-.f64 phi1 phi2) phi1) R)
phi2
(/.f64 (neg.f64 R) phi1)
(neg.f64 R)
R
(/.f64 (*.f64 phi1 R) phi1)
R
(*.f64 phi1 R)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 R)))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(.f64 (cos.f64 (.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 R))
(*.f64 R lambda1)
(*.f64 lambda1 R)
R
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) lambda1)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) lambda1)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) lambda1)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) lambda1))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
lambda1

localize208.0ms (2.3%)

Memory

30.0MiB live, 165.7MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
accuracy	0.125	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)
accuracy	23.07040739311389	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
accuracy	31.293436668668686	#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
accuracy	0.1953125	(.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
accuracy	11.21665374085833	(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
accuracy	53.95810592779679	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
accuracy	4.067740747981954	(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))))
accuracy	5.605186475059861	(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
accuracy	15.255497539665795	(/.f64 (*.f64 phi1 R) phi1)
accuracy	27.730443092202815	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
accuracy	0.0	(fma.f64 #s(literal -1 binary64) phi1 phi2)
accuracy	0.0	#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)
accuracy	27.730443092202815	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
accuracy	0.00390625	(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
accuracy	0.05859375	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
accuracy	23.07040739311389	#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
accuracy	25.704434886520147	#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))

Samples

119.0ms	179×	1	valid
22.0ms	77×	0	valid

Compiler

Compiled 415 to 45 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 28.0ms (26.8% of total)

ival-cos: 23.0ms (22% of total)

adjust: 18.0ms (17.2% of total)

ival-add: 10.0ms (9.6% of total)

ival-div: 10.0ms (9.6% of total)

ival-hypot: 10.0ms (9.6% of total)

ival-sub: 3.0ms (2.9% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

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

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

series82.0ms (0.9%)

Memory

-19.6MiB live, 116.8MiB allocated; 11ms collecting garbage

Counts

23 → 214

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)
(/.f64 (*.f64 phi1 R) phi1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))))
(neg.f64 phi1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* R (+ phi2 (* -1 phi1)))))
#s(approx (/ (* phi1 R) phi1) #s(hole binary64 R))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* R (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (* R (- (/ phi2 phi1) 1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))))
#s(approx (* (cos (* 1/2 phi2)) lambda1) #s(hole binary64 (* lambda1 (cos (* 1/2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 phi2))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R phi2)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* R phi2)))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
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#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (/ (* R phi2) phi1))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (/ (+ (* -1 (* R phi2)) (* R phi1)) phi1)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi2)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (+ (* 1/2 phi1) (* 1/2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
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#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 phi1)))
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#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 R))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (+ R (* -1 (/ (* R phi2) phi1)))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi1)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
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#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi2 (* -1 phi1))))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)))
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#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* R (* lambda1 (cos (* 1/2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* -1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (cos (* 1/2 phi2)) lambda1) #s(hole binary64 lambda1))
#s(approx (* (cos (* 1/2 phi2)) lambda1) #s(hole binary64 (+ lambda1 (* -1/8 (* lambda1 (pow phi2 2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)))))

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	lambda1	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* (+ (* -1 phi1) phi2) R) (/ (* phi1 R) phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (* 1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1))
8.0ms	R	@	inf	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* (+ (* -1 phi1) phi2) R) (/ (* phi1 R) phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (* 1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1))
8.0ms	lambda1	@	-inf	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* (+ (* -1 phi1) phi2) R) (/ (* phi1 R) phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (* 1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1))
4.0ms	R	@	-inf	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* (+ (* -1 phi1) phi2) R) (/ (* phi1 R) phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (* 1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1))
4.0ms	R	@	0	((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* (+ (* -1 phi1) phi2) R) (/ (* phi1 R) phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (* 1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1))

simplify194.0ms (2.2%)

Memory

38.8MiB live, 178.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1286	12170
1	4257	12057
0	8769	10002

Stop Event

1×	iter limit
1×	node limit

Counts

214 → 214

Calls

Call 1

Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* R (+ phi2 (* -1 phi1)))))
#s(approx (/ (* phi1 R) phi1) #s(hole binary64 R))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* R (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (* R (- (/ phi2 phi1) 1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 phi2))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R phi2)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* R phi2)))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
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#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (/ (* R phi2) phi1))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (/ (+ (* -1 (* R phi2)) (* R phi1)) phi1)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi2)))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
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#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 R))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (+ R (* -1 (/ (* R phi2) phi1)))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi1)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
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#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi2 (* -1 phi1))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)))
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#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
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#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* -1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi1))))
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#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
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#s(approx (* (cos (* 1/2 phi2)) lambda1) #s(hole binary64 lambda1))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)))))

Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* R (+ phi2 (* -1 phi1)))))
#s(approx (* (+ (* -1 phi1) phi2) R) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
#s(approx (/ (* phi1 R) phi1) #s(hole binary64 R))
#s(approx (/ (* phi1 R) phi1) R)
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (.f64 (.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (* R lambda1) (*.f64 lambda1 R))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* R (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (* R (- (/ phi2 phi1) 1)))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (neg.f64 R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 lambda1 R) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 R) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (.f64 (neg.f64 (.f64 (.f64 R lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 R) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (.f64 (neg.f64 (.f64 (.f64 lambda1 R) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (.f64 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (.f64 (.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 lambda1 lambda2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 (.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 phi2 phi2))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 phi2 phi2))))) #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 lambda1 lambda1) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) lambda2 (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))) (.f64 (.f64 (fma.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) phi1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))))))) phi1 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (.f64 #s(literal -2 binary64) phi2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2)))))) phi1 (hypot.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 phi2))
#s(approx (+ (* -1 phi1) phi2) phi2)
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (+ (* -1 phi1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* R phi2)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 phi2 R))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* R phi2)))
#s(approx (* (+ (* -1 phi1) phi2) R) (*.f64 phi2 R))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (+ (* -1 (* R phi1)) (* R phi2))))
#s(approx (* (+ (* -1 phi1) phi2) R) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (neg phi1) (neg.f64 phi1))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (.f64 (.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (fma.f64 (.f64 #s(literal -1/2 binary64) R) (.f64 (.f64 lambda1 phi1) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2))) (.f64 (.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) R) (.f64 (.f64 lambda1 phi1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))) (.f64 (.f64 (.f64 lambda1 R) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2))) #s(literal -1/2 binary64))) phi1 (.f64 (.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) R) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) R) (.f64 (.f64 lambda1 phi1) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 lambda1 R) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))) phi1)) phi1 (.f64 (.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) phi1) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))) phi1 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (/ (* R phi2) phi1))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (*.f64 (/.f64 phi2 (neg.f64 phi1)) R))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (/ (+ (* -1 (* R phi2)) (* R phi1)) phi1)))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi2)))
#s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (+ (* 1/2 phi1) (* 1/2 phi2))))
#s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi1 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (/.f64 phi2 (neg.f64 phi1)) R R) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (/.f64 phi2 (neg.f64 phi1)) R R) (.f64 #s(literal -1/2 binary64) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 phi1)))))) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (-.f64 (fma.f64 (/.f64 phi2 (neg.f64 phi1)) R R) (.f64 #s(literal -1/2 binary64) (fma.f64 R (.f64 phi2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi1)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 phi2 (neg.f64 phi1))) #s(literal 1 binary64)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 phi1)))) (/.f64 phi2 (neg.f64 phi1))) #s(literal 1 binary64)) phi1))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* -1 phi1) phi2) (neg.f64 phi1))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (+ (* -1 phi1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* R phi1))))
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#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* (+ (* -1 phi1) phi2) R) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))))
#s(approx (* 1/2 (+ phi2 phi1)) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2) #s(literal -1 binary64) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 phi1 R (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 R (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 R (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 phi2) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 phi2) (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 phi2) (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (+ (* -1 phi1) phi2) (*.f64 (neg.f64 phi2) (-.f64 (/.f64 phi1 phi2) #s(literal 1 binary64))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R))))
#s(approx (* (+ (* -1 phi1) phi2) R) #s(hole binary64 (* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))))
#s(approx (* (+ (* -1 phi1) phi2) R) (*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (.f64 (.f64 lambda1 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))))
#s(approx (+ (* phi2 (/ (neg R) phi1)) (/ (* phi1 R) phi1)) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)))))
#s(approx (* 1/2 (+ phi2 phi1)) (.f64 (neg.f64 phi2) (-.f64 (.f64 (/.f64 phi1 phi2) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))

rewrite92.0ms (1%)

Memory

4.8MiB live, 49.8MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	497
0	89	420
1	322	413
0	2623	375

Stop Event

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

Counts

23 → 351

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R))
(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)
(/.f64 (*.f64 phi1 R) phi1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))))
(neg.f64 phi1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)

Outputs
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)) R)
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 #s(approx ( (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 phi2 phi2 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))
(/.f64 (hypot.f64 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx ( (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2) #s(literal 2 binary64))) (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 phi2 phi2 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (fabs.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (neg.f64 (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (neg.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (fabs.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)))))
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(*.f64 #s(literal -1 binary64) phi1)
(*.f64 phi1 #s(literal -1 binary64))
(neg.f64 phi1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 R)))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1)
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) R)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 R))
(.f64 (.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 R (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(*.f64 lambda1 R)
(*.f64 R lambda1)
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)) R)
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))
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(hypot.f64 (neg.f64 phi2) #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) (neg.f64 phi2))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) (fabs.f64 phi2))
(hypot.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))) phi2)
(hypot.f64 (fabs.f64 phi2) (neg.f64 (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))))
(hypot.f64 (fabs.f64 phi2) (neg.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))))
(hypot.f64 (fabs.f64 phi2) (fabs.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))))
(hypot.f64 (fabs.f64 phi2) (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 phi2) (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(hypot.f64 (fabs.f64 phi2) (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(hypot.f64 (fabs.f64 phi2) #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (neg.f64 (neg.f64 phi2)))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (neg.f64 phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (fabs.f64 phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)
(hypot.f64 phi2 (neg.f64 (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))))
(hypot.f64 phi2 (neg.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))))
(hypot.f64 phi2 (fabs.f64 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))))
(hypot.f64 phi2 (pow.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) #s(literal 1 binary64)))
(hypot.f64 phi2 (neg.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(hypot.f64 phi2 (fabs.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(hypot.f64 phi2 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)))
(exp.f64 (.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 #s(approx ( (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 (neg.f64 R) phi1) phi2)))
(/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1)
(/.f64 (fma.f64 phi1 R (*.f64 (neg.f64 R) phi2)) phi1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 R) phi2) (.f64 phi1 R)) phi1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (.f64 phi1 R) phi1) (-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 (neg.f64 R) phi1) phi2)) (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) (neg.f64 phi1) (.f64 phi1 (.f64 (neg.f64 R) phi1))) (.f64 phi1 (neg.f64 phi1)))
(/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1))
(/.f64 (fma.f64 (.f64 (neg.f64 R) phi1) phi1 (.f64 (neg.f64 phi1) (.f64 (neg.f64 R) phi2))) (.f64 (neg.f64 phi1) phi1))
(/.f64 (fma.f64 (.f64 phi1 R) phi1 (.f64 phi1 (.f64 (neg.f64 R) phi2))) (.f64 phi1 phi1))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (neg.f64 R) phi2) (.f64 phi1 R)) phi1))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 R) phi1) (.f64 phi2 (/.f64 (*.f64 phi1 R) phi1))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 phi1 R) phi1) (-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 (neg.f64 R) phi1) phi2)) (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64))))
(fma.f64 (/.f64 R phi1) phi1 (*.f64 (/.f64 (neg.f64 R) phi1) phi2))
(fma.f64 (/.f64 (neg.f64 R) phi1) phi2 (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1))
(fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 (neg.f64 R) phi1) phi2))
(fma.f64 R (/.f64 phi1 phi1) (*.f64 (/.f64 (neg.f64 R) phi1) phi2))
(fma.f64 R (neg.f64 (/.f64 phi2 phi1)) (/.f64 (*.f64 phi1 R) phi1))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (neg.f64 R) phi2) (.f64 phi1 R)) phi1)) (/.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (neg.f64 R) phi2) (.f64 phi1 R)) phi1)))
(-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 R phi1) phi2))
(-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (neg.f64 (/.f64 (neg.f64 R) phi1)) phi2))
(-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (neg.f64 phi2) (/.f64 (neg.f64 R) phi1)))
(-.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) (.f64 (neg.f64 phi1) (/.f64 R phi1)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 phi1 R) phi1) (-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 (neg.f64 R) phi1) phi2)) (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (.f64 phi1 R) phi1) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 phi1 R) phi1) (-.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 (neg.f64 R) phi1) phi2)) (pow.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 phi1 R) phi1) (.f64 (/.f64 (neg.f64 R) phi1) phi2))
(+.f64 (.f64 (/.f64 (neg.f64 R) phi1) phi2) (/.f64 (.f64 phi1 R) phi1))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) #s(literal 1/2 binary64)) (-.f64 phi1 phi2))
(/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) #s(literal 1/2 binary64)) (-.f64 phi2 phi1))
(/.f64 (.f64 (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 phi2 (-.f64 phi2 phi1) (.f64 phi1 phi1)))
(/.f64 (.f64 (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 phi2 phi2 (.f64 phi1 (-.f64 phi1 phi2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2))) (-.f64 phi1 phi2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1))) (-.f64 phi2 phi1))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) (fma.f64 phi2 (-.f64 phi2 phi1) (.f64 phi1 phi1)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) (fma.f64 phi2 phi2 (.f64 phi1 (-.f64 phi1 phi2))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 #s(literal 1/2 binary64) phi2)) (.f64 (.f64 #s(literal 1/2 binary64) phi1) (.f64 #s(literal 1/2 binary64) phi1))) (-.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 #s(literal 1/2 binary64) phi1)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) phi2) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) phi1) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 #s(literal 1/2 binary64) phi2) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) phi1) (.f64 #s(literal 1/2 binary64) phi1)) (.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 #s(literal 1/2 binary64) phi1)))))
(fma.f64 (neg.f64 phi2) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1))
(fma.f64 #s(literal 1/2 binary64) phi2 (*.f64 #s(literal 1/2 binary64) phi1))
(fma.f64 #s(literal 1/2 binary64) phi1 (*.f64 #s(literal 1/2 binary64) phi2))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 phi2) (*.f64 #s(literal 1/2 binary64) phi1))
(fma.f64 phi2 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1))
(fma.f64 phi1 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi2))
(-.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 (neg.f64 phi1) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 #s(literal -1/2 binary64) phi1))
(+.f64 (.f64 #s(literal 1/2 binary64) phi1) (.f64 #s(literal 1/2 binary64) phi2))
(+.f64 (.f64 #s(literal 1/2 binary64) phi2) (.f64 #s(literal 1/2 binary64) phi1))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(.f64 lambda1 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)))

eval140.0ms (1.6%)

Memory: -26.8MiB live, 112.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 35 015 to 2 586 computations (92.6% saved)

prune97.0ms (1.1%)

Memory

-2.7MiB live, 139.2MiB allocated; 26ms collecting garbage

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	549	12	561
Fresh	3	32	35
Picked	3	2	5
Done	1	3	4
Total	556	49	605

Accuracy

99.4%

Counts

605 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
	22.7%	(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
✓	70.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
✓	55.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
	53.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
	70.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
	55.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
	13.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) lambda1)))
	15.7%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda1)))
	10.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
	11.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal -1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))))
	10.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	11.9%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))))
	6.9%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
	6.5%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
	6.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
✓	7.6%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
	9.7%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
	10.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
✓	31.2%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
	17.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda2) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) lambda2) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) phi2) (.f64 (.f64 #s(literal -1/2 binary64) lambda2) (sin.f64 (.f64 #s(literal -1/2 binary64) phi1)))) phi2 (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)))))))
	22.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
	27.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
	56.0%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))
	25.3%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
	27.8%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
✓	31.4%	(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
	53.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
	36.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (fma.f64 (neg.f64 R) (.f64 lambda1 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 lambda2 lambda2)) (/.f64 (.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2))
	13.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
	26.5%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	15.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
	10.8%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
	12.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
	23.0%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
	10.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
	59.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
	45.0%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
	34.1%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
	53.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
	60.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
	56.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
	40.2%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
	55.5%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
	52.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
	38.9%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
	56.7%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
	50.6%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
	49.3%	#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))

Compiler

Compiled 6 622 to 1 866 computations (71.8% saved)

regimes283.0ms (3.2%)

Memory

27.6MiB live, 302.0MiB allocated; 43ms collecting garbage

Counts

81 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

54.0ms	R
51.0ms	phi1
47.0ms	(-.f64 lambda1 lambda2)
23.0ms	lambda2
23.0ms	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Results

Accuracy	Segments	Branch
85.7%	3	`(-.f64 lambda1 lambda2)`
83.8%	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
83.8%	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
83.2%	2	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
82.8%	3	`R`
79.8%	3	`lambda1`
84.2%	5	`lambda2`
94.8%	2	`phi1`
94.4%	2	`phi2`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes41.0ms (0.5%)

Memory

21.5MiB live, 73.0MiB allocated; 8ms collecting garbage

Counts

64 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))

Outputs

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

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

Calls

2 calls:

22.0ms	phi1
16.0ms	phi2

Results

Accuracy	Segments	Branch
92.7%	2	`phi2`
91.6%	2	`phi1`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes105.0ms (1.2%)

Memory

-2.7MiB live, 90.8MiB allocated; 3ms collecting garbage

Counts

63 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))

Outputs

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))

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

Calls

2 calls:

57.0ms	phi2
44.0ms	phi1

Results

Accuracy	Segments	Branch
88.4%	3	`phi1`
86.9%	2	`phi2`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes57.0ms (0.6%)

Memory

-33.6MiB live, 60.4MiB allocated; 11ms collecting garbage

Counts

62 → 3

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))

Outputs

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

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

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))

Calls

2 calls:

17.0ms	phi2
15.0ms	phi1

Results

Accuracy	Segments	Branch
88.4%	3	`phi1`
86.1%	2	`phi2`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes19.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Counts

61 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))))

Outputs

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

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))

Calls

1 calls:

15.0ms

phi1

Results

Accuracy	Segments	Branch
86.8%	2	`phi1`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes67.0ms (0.8%)

Memory

15.7MiB live, 59.6MiB allocated; 4ms collecting garbage

Counts

60 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal 1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (cos ( -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 (.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda1) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) #s(approx (sin (+ ( 1/2 (+ phi2 phi1)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 (PI.f64))))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (.f64 (neg.f64 lambda2) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))

Outputs

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))

Calls

2 calls:

48.0ms	phi2
15.0ms	phi1

Results

Accuracy	Segments	Branch
86.1%	2	`phi2`
85.8%	2	`phi1`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes20.0ms (0.2%)

Memory

-29.3MiB live, 15.5MiB allocated; 4ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))

Outputs

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

Calls

1 calls:

19.0ms

phi2

Results

Accuracy	Segments	Branch
85.9%	2	`phi2`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes71.0ms (0.8%)

Memory

36.9MiB live, 82.1MiB allocated; 2ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))

Outputs

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2)))

Calls

9 calls:

14.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
7.0ms	(-.f64 lambda1 lambda2)
7.0ms	phi1
7.0ms	phi2
7.0ms	lambda2

Results

Accuracy	Segments	Branch
67.1%	2	`lambda1`
65.3%	3	`lambda2`
64.3%	2	`R`
63.0%	2	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
60.3%	1	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
60.3%	1	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
64.2%	3	`(-.f64 lambda1 lambda2)`
70.6%	2	`phi1`
63.5%	2	`phi2`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes39.0ms (0.4%)

Memory

-36.4MiB live, 30.5MiB allocated; 23ms collecting garbage

Counts

26 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 #s(approx (+ (* (neg R) phi2) (* phi1 R)) (*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) phi2)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi1 (/.f64 R phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) (/.f64 (*.f64 phi1 R) phi1)))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 phi2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (.f64 (neg.f64 R) phi2) phi1 (.f64 phi1 (.f64 phi1 R))) (.f64 phi1 phi1)))))

Outputs

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

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

Calls

3 calls:

24.0ms	phi1
7.0ms	lambda1
7.0ms	R

Results

Accuracy	Segments	Branch
64.3%	2	`R`
60.3%	1	`lambda1`
61.9%	2	`phi1`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes31.0ms (0.4%)

Memory

-2.7MiB live, 42.8MiB allocated; 4ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 R) phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (neg.f64 phi1) R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)))))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 R) phi2 (*.f64 phi1 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (/.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (-.f64 phi2 (neg.f64 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (.f64 (.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) R) (-.f64 (neg.f64 phi1) phi2))))

Outputs

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R)))))

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

Calls

5 calls:

8.0ms	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
5.0ms	(-.f64 lambda1 lambda2)
5.0ms	R
5.0ms	phi2
5.0ms	lambda2

Results

Accuracy	Segments	Branch
61.5%	2	`(-.f64 lambda1 lambda2)`
59.9%	1	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
62.6%	2	`phi2`
59.9%	1	`lambda2`
62.5%	2	`R`

Compiler

Compiled 38 to 38 computations (0% saved)

regimes39.0ms (0.4%)

Memory

18.8MiB live, 64.9MiB allocated; 4ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))

Outputs

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))

Calls

9 calls:

10.0ms	(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
4.0ms	phi2
4.0ms	phi1
4.0ms	R
4.0ms	(-.f64 lambda1 lambda2)

Results

Accuracy	Segments	Branch
56.7%	1	`lambda2`
56.7%	1	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
58.5%	2	`(-.f64 lambda1 lambda2)`
56.7%	1	`lambda1`
56.7%	1	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
56.7%	1	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
60.3%	2	`phi1`
60.3%	2	`R`
58.9%	2	`phi2`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes38.0ms (0.4%)

Memory

-32.4MiB live, 15.2MiB allocated; 1ms collecting garbage

Counts

11 → 2

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))

Outputs

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))

Calls

2 calls:

34.0ms	phi1
3.0ms	R

Results

Accuracy	Segments	Branch
56.7%	1	`phi1`
59.2%	2	`R`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes10.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 phi2 R (*.f64 (neg.f64 R) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (+.f64 (.f64 (neg.f64 R) phi1) (.f64 phi2 R))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(.f64 R (sqrt.f64 #s(approx (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R)))

Outputs

#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))

Calls

3 calls:

3.0ms	(-.f64 lambda1 lambda2)
3.0ms	phi2
3.0ms	R

Results

Accuracy	Segments	Branch
56.7%	1	`(-.f64 lambda1 lambda2)`
56.7%	1	`phi2`
56.7%	1	`R`

Compiler

Compiled 5 to 16 computations (-220% saved)

regimes12.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))

Outputs

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))

(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

Calls

9 calls:

1.0ms	phi2
1.0ms	R
1.0ms	(-.f64 lambda1 lambda2)
1.0ms	phi1
1.0ms	lambda2

Results

Accuracy	Segments	Branch
36.0%	3	`(-.f64 lambda1 lambda2)`
52.8%	2	`phi1`
38.8%	4	`R`
33.6%	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
33.6%	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
31.4%	1	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
39.6%	5	`lambda2`
33.4%	2	`lambda1`
53.6%	2	`phi2`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes29.0ms (0.3%)

Memory

-33.4MiB live, 17.1MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

Outputs
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

Calls

9 calls:

20.0ms	phi2
1.0ms	phi1
1.0ms	(-.f64 lambda1 lambda2)
1.0ms	R
1.0ms	lambda2

Results

Accuracy	Segments	Branch
31.4%	1	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
31.4%	1	`lambda1`
31.4%	1	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
31.4%	1	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
31.4%	1	`(-.f64 lambda1 lambda2)`
31.4%	1	`lambda2`
31.4%	1	`R`
31.4%	1	`phi1`
31.4%	1	`phi2`

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch23.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-1.0120131252096632e-34	-1.1307824343240649e-41

Samples

11.0ms	130×	0	valid
3.0ms	14×	1	valid

Compiler

Compiled 809 to 472 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-hypot: 2.0ms (20.4% of total)

ival-cos: 2.0ms (20.4% of total)

ival-mult: 2.0ms (20.4% of total)

ival-add: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

adjust: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory

-23.4MiB live, 23.1MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.614950088671298e+63	1.9928541532298925e+70

Samples

13.0ms	61×	1	valid
7.0ms	83×	0	valid

Compiler

Compiled 872 to 508 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

adjust: 3.0ms (20% of total)

ival-mult: 3.0ms (20% of total)

ival-hypot: 3.0ms (20% of total)

ival-cos: 3.0ms (20% of total)

ival-sub: 2.0ms (13.3% of total)

ival-add: 1.0ms (6.7% of total)

ival-div: 1.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.614950088671298e+63	1.9928541532298925e+70

Compiler

Compiled 908 to 517 computations (43.1% saved)

bsearch47.0ms (0.5%)

Memory

16.8MiB live, 62.4MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-230043.16428059683	-0.06108960404052772
17.0ms	-1.6040228637609615e+107	-2.613681768694698e+106

Samples

19.0ms	181×	0	valid
13.0ms	59×	1	valid

Compiler

Compiled 1 718 to 925 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-cos: 6.0ms (24.7% of total)

ival-hypot: 4.0ms (16.5% of total)

ival-sub: 4.0ms (16.5% of total)

ival-mult: 4.0ms (16.5% of total)

adjust: 3.0ms (12.4% of total)

ival-add: 2.0ms (8.2% of total)

ival-div: 2.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-230043.16428059683	-0.06108960404052772

Compiler

Compiled 1 034 to 553 computations (46.5% saved)

bsearch18.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.6622298829355913e+78	5.44255551984542e+78

Samples

10.0ms	43×	1	valid
3.0ms	37×	0	valid

Compiler

Compiled 505 to 282 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

adjust: 2.0ms (20.2% of total)

ival-mult: 2.0ms (20.2% of total)

ival-hypot: 2.0ms (20.2% of total)

ival-cos: 2.0ms (20.2% of total)

ival-add: 1.0ms (10.1% of total)

ival-div: 1.0ms (10.1% of total)

ival-sub: 1.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory

-33.9MiB live, 12.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	5.05278945288456e+82	3.1060863389153746e+83

Samples

18.0ms	52×	0	valid
9.0ms	44×	1	valid

Compiler

Compiled 623 to 352 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

adjust: 2.0ms (19.4% of total)

ival-mult: 2.0ms (19.4% of total)

ival-hypot: 2.0ms (19.4% of total)

ival-cos: 2.0ms (19.4% of total)

ival-add: 1.0ms (9.7% of total)

ival-div: 1.0ms (9.7% of total)

ival-sub: 1.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-3.5931071243172424e+52	-1.1022860929983558e+51

Samples

13.0ms	60×	1	valid
4.0ms	52×	0	valid

Compiler

Compiled 756 to 435 computations (42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-hypot: 3.0ms (23.2% of total)

adjust: 2.0ms (15.5% of total)

ival-cos: 2.0ms (15.5% of total)

ival-mult: 2.0ms (15.5% of total)

ival-add: 1.0ms (7.7% of total)

ival-div: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.2387143194872373e+80	4.2590779230942097e+80

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch7.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.05278945288456e+82	3.1060863389153746e+83

Samples

2.0ms	10×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 689 to 388 computations (43.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 1.0ms (34% of total)

ival-cos: 1.0ms (34% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch43.0ms (0.5%)

Memory

-18.1MiB live, 31.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.8436430949110166e+100	1.0441989795510896e+105

Samples

27.0ms	30×	1	valid
8.0ms	98×	0	valid

Compiler

Compiled 779 to 438 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

adjust: 22.0ms (69.5% of total)

ival-hypot: 2.0ms (6.3% of total)

ival-cos: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.2% of total)

ival-div: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	6.136472702362894e+96	4.0431562075993223e+99

Samples

3.0ms	40×	0	valid
2.0ms	8×	1	valid

Compiler

Compiled 350 to 199 computations (43.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 1.0ms (26.8% of total)

ival-hypot: 1.0ms (26.8% of total)

ival-cos: 1.0ms (26.8% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	8.614950088671298e+63	1.9928541532298925e+70

Samples

13.0ms	64×	1	valid
5.0ms	64×	0	valid

Compiler

Compiled 656 to 373 computations (43.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

adjust: 3.0ms (21.1% of total)

ival-hypot: 3.0ms (21.1% of total)

ival-cos: 3.0ms (21.1% of total)

ival-mult: 2.0ms (14% of total)

ival-add: 1.0ms (7% of total)

ival-div: 1.0ms (7% of total)

ival-sub: 1.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

simplify72.0ms (0.8%)

Memory

-39.1MiB live, 52.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	155	1466
1	253	1456
2	532	1454
3	1223	1428
4	2918	1412
5	7580	1412

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 phi1 #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 580000000000000022912038840463345643692519318216117938966322862882816 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi2 #s(literal 580000000000000022912038840463345643692519318216117938966322862882816 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi1 #s(literal -118000000000000005445954349473811506936374781566324195010418573491688402511180574674027945766315587771826176 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1))) (if (<=.f64 phi1 #s(literal -215000 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))))
(if (<=.f64 phi1 #s(literal -215000 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 5199999999999999961891603589126153368225664480046029953517202052375550743281664 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R))))
(if (<=.f64 phi1 #s(literal -2249999999999999984747134517313662947038843994374144 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) (.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2))))
(if (<=.f64 R #s(literal 425000000000000003404101039652973009593898570134804448632532635444491202091548672 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) #s(approx ( R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))))
(if (<=.f64 phi2 #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R))))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R))))
(if (<=.f64 R #s(literal 240000000000000000459762020576320496691829230543646082676672843503851037808957301430696674825963277647872 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) #s(approx ( R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)))
(if (<=.f64 R #s(literal 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) #s(approx ( R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
(if (<=.f64 phi2 #s(literal 8799999999999999486098901364365291738482349563342242096766517248 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

Outputs
(if (<=.f64 phi1 #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 580000000000000022912038840463345643692519318216117938966322862882816 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi2 #s(literal 580000000000000022912038840463345643692519318216117938966322862882816 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi1 #s(literal -118000000000000005445954349473811506936374781566324195010418573491688402511180574674027945766315587771826176 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1))) (if (<=.f64 phi1 #s(literal -215000 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))))
(if (<=.f64 phi1 #s(literal -215000 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 5199999999999999961891603589126153368225664480046029953517202052375550743281664 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R))))
(if (<=.f64 phi1 #s(literal -2249999999999999984747134517313662947038843994374144 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) (.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (* (cos (* 1/2 phi2)) lambda1) lambda1)) phi2))))
(if (<=.f64 R #s(literal 425000000000000003404101039652973009593898570134804448632532635444491202091548672 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) #s(approx ( R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))))
(if (<=.f64 phi2 #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (.f64 (neg.f64 phi1) #s(approx (+ ( (neg R) (/ phi2 phi1)) R) (fma.f64 phi2 (/.f64 (neg.f64 R) phi1) #s(approx (/ (* phi1 R) phi1) R))))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R))))
(if (<=.f64 R #s(literal 240000000000000000459762020576320496691829230543646082676672843503851037808957301430696674825963277647872 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) #s(approx ( R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)))
(if (<=.f64 R #s(literal 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (.f64 (+.f64 (neg.f64 phi1) phi2) R))) #s(approx ( R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (+.f64 (neg.f64 phi1) phi2) R)))
(if (<=.f64 phi2 #s(literal 8799999999999999486098901364365291738482349563342242096766517248 binary64)) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) (.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)))
(.f64 R #s(approx (sqrt (+ ( (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

derivations642.0ms (7.2%)

Memory

12.1MiB live, 344.1MiB allocated; 100ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 466 to 157 computations (89.3% saved)

preprocess102.0ms (1.2%)

Memory

31.7MiB live, 121.4MiB allocated; 8ms collecting garbage

Remove

(sort lambda1 lambda2)

(negabs R)

Compiler

Compiled 3 716 to 612 computations (83.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.7s (18.7%)

explain413.0ms (4.7%)

preprocess208.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify147.0ms (1.7%)

localize147.0ms (1.7%)

series60.0ms (0.7%)

simplify250.0ms (2.8%)

rewrite105.0ms (1.2%)

eval75.0ms (0.8%)

prune41.0ms (0.5%)

simplify137.0ms (1.5%)

localize177.0ms (2%)

series102.0ms (1.1%)

simplify262.0ms (2.9%)

rewrite84.0ms (0.9%)

eval59.0ms (0.7%)

prune49.0ms (0.6%)

simplify154.0ms (1.7%)

localize316.0ms (3.6%)

series68.0ms (0.8%)

simplify297.0ms (3.3%)

rewrite124.0ms (1.4%)

eval76.0ms (0.9%)

prune947.0ms (10.7%)

simplify160.0ms (1.8%)

localize208.0ms (2.3%)

series82.0ms (0.9%)

simplify194.0ms (2.2%)

rewrite92.0ms (1%)

eval140.0ms (1.6%)

prune97.0ms (1.1%)

regimes283.0ms (3.2%)

regimes41.0ms (0.5%)

regimes105.0ms (1.2%)

regimes57.0ms (0.6%)

regimes19.0ms (0.2%)

regimes67.0ms (0.8%)

regimes20.0ms (0.2%)

regimes71.0ms (0.8%)

regimes39.0ms (0.4%)

regimes31.0ms (0.4%)

regimes39.0ms (0.4%)

regimes38.0ms (0.4%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes29.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch2.0ms (0%)

bsearch47.0ms (0.5%)

bsearch2.0ms (0%)

bsearch18.0ms (0.2%)

bsearch33.0ms (0.4%)

bsearch24.0ms (0.3%)

bsearch0.0ms (0%)

bsearch7.0ms (0.1%)

bsearch43.0ms (0.5%)

bsearch8.0ms (0.1%)

bsearch26.0ms (0.3%)

simplify72.0ms (0.8%)

derivations642.0ms (7.2%)

preprocess102.0ms (1.2%)

end0.0ms (0%)

Profiling