Details

analyze997.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0.8%	0.8%	99%	0.2%	0%	0%	0%	11
1.2%	1.2%	98.6%	0.2%	0%	0%	0%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample8.7s (13.2%)

Results

6.8s	5702×	body	1024	valid
983.0ms	1497×	body	512	valid
625.0ms	280×	body	2048	valid
304.0ms	777×	body	256	valid
4.0ms	4×	body	1024	infinite
1.0ms	1×	body	512	infinite
0.0ms	1×	body	256	infinite

Bogosity

preprocess142.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1574×	`fma-def`
1388×	`associate--r+`
1128×	`distribute-lft-in`
1098×	`distribute-lft-neg-in`
1026×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	627
1	187	627
2	300	627
3	383	627
4	443	627
5	655	627
6	1049	627
7	1373	627
8	2186	627
9	3016	627
10	3933	627
11	5074	627
12	6099	627
13	7074	627
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4
3

Call 2

Inputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))) lambda2)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 R) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) phi1)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 R)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (cos.f64 (-.f64 lambda1 lambda2))))) phi2)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Outputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(.f64 lambda1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 R lambda2)))))))
(.f64 lambda1 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 lambda1 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 R lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))) lambda2)
(.f64 lambda2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))))
(.f64 lambda2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 R)))))))
(.f64 lambda2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 R)))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 R) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) phi1)
(.f64 phi1 (acos.f64 (fma.f64 (sin.f64 R) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 R))))))
(.f64 phi1 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 R)) (*.f64 (sin.f64 phi2) (sin.f64 R)))))
(.f64 phi1 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 R)) (*.f64 (sin.f64 phi2) (sin.f64 R)))))
(.f64 phi1 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 R) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 R))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 R)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (cos.f64 (-.f64 lambda1 lambda2))))) phi2)
(.f64 phi2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 R) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 R))))))
(.f64 phi2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 R) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 R))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 lambda1) (sin.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))) (*.f64 (sin.f64 phi2) (sin.f64 lambda1)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda1) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi1 lambda2))) (*.f64 (sin.f64 phi2) (sin.f64 lambda1)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda1) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 lambda1)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 phi2) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 phi1)) (cos.f64 lambda2)) (cos.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi1)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 phi1 lambda1)))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 phi2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 phi2 lambda1)))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 lambda2)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify22.0ms (0%)

Algorithm

1×	egg-herbie

Rules

96×	`fma-def`
48×	`associate--r+`
40×	`*-commutative`
38×	`associate-+l-`
32×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	57
1	31	57
2	46	57
3	57	57
4	66	57
5	84	57
6	136	57
7	181	57
8	225	57
9	273	57
10	297	57
11	299	57

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Outputs

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

eval1.0ms (0%)

Compiler: Compiled 60 to 27 computations (55% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

15.9b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.9b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
▶	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Status

Error

Program

▶

15.9b

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

▶

15.9b

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Compiler

Compiled 47 to 33 computations (29.8% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	0.7b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 97 to 17 computations (82.5% saved)

series13.0ms (0%)

Counts

4 → 132

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	phi2	@	0	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
1.0ms	phi2	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
1.0ms	phi1	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
1.0ms	phi1	@	0	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
1.0ms	phi2	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

rewrite110.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`associate-*r/`
492×	`associate-+l+`
474×	`add-sqr-sqrt`
470×	`pow1`
470×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	134
1	434	134
2	5947	134

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(cos.f64 (-.f64 lambda1 lambda2))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))

simplify136.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1816×	`unswap-sqr`
1126×	`distribute-lft-in`
1110×	`distribute-rgt-in`
502×	`associate-r`
448×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	11451
1	832	11339
2	3087	11271

Stop Event

1×	node limit

Counts

225 → 193

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2)))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2))) 2)
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) -2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) (cbrt.f64 2))
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (sin.f64 phi2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))

Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))
(fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (-.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2)) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))))
(+.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2)) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (fma.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)))
(+.f64 (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 lambda2) -1/2) lambda1))) (fma.f64 (.f64 -1/6 (sin.f64 lambda2)) (pow.f64 lambda1 3) (cos.f64 lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) (cos.f64 lambda1) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (fma.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) (cos.f64 lambda1) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/4)) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(/.f64 R (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
(/.f64 R (/.f64 (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 1/4 (PI.f64))))) R)
(pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(sqrt.f64 (pow.f64 (.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2))
(fabs.f64 (.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2)))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2)))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi1 phi2))))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 2)) (cbrt.f64 (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 phi2 phi1)))))
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(pow.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) 1/3)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))
(fabs.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (sin.f64 phi2)))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(exp.f64 (log.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	0.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
✓	0.7b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series21.0ms (0%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	phi2	@	-inf	(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
2.0ms	phi1	@	-inf	(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
2.0ms	lambda1	@	inf	(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
1.0ms	lambda2	@	inf	(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
1.0ms	phi1	@	inf	(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))

rewrite108.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`associate-*r/`
866×	`associate-*l/`
456×	`add-sqr-sqrt`
452×	`pow1`
452×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	155
1	420	155
2	5501	155

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))

Inputs

(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (+.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (-.f64 1 (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) 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Outputs

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(*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2)) (-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (-.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2))) (-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 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(-.f64 lambda1 lambda2)))) 2) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 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lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))))

simplify176.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1500×	`unswap-sqr`
1154×	`distribute-lft-in`
1144×	`distribute-rgt-in`
608×	`associate-r`
496×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	15532
1	824	15310
2	3118	15164

Stop Event

1×	node limit

Counts

240 → 180

Calls

Call 1

Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(.f64 1 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2))) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2)) 1) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) 1) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))

Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2)))
(fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 2)))) (*.f64 phi1 (sin.f64 phi2))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 phi1 phi1))) (.f64 phi1 (sin.f64 phi2))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2))))
(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (*.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 2)))) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi2) (pow.f64 phi1 3)) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 phi1 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi2) (pow.f64 phi1 3)) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 phi2) (*.f64 phi1 phi1)) -1/2)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))) (.f64 (sin.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) phi2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) phi2))
(+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))))))
(fma.f64 (sin.f64 phi1) phi2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (.f64 phi2 phi2))))))
(fma.f64 (sin.f64 phi1) phi2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 phi2 (.f64 phi2 (cos.f64 phi1))) -1/2))))
(fma.f64 (sin.f64 phi1) phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) -1/2))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (pow.f64 phi2 2)))))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 (sin.f64 phi1) phi2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (*.f64 phi2 phi2)))))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 (sin.f64 phi1) phi2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 phi2 (*.f64 phi2 (cos.f64 phi1))) -1/2)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) -1/2))) (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (.f64 1 (sin.f64 lambda2)) (.f64 lambda1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (.f64 (cos.f64 phi2) -1/2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 lambda1 lambda1)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))
(+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2))) -1/2)))) (.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(fma.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (fma.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)) (neg.f64 (sin.f64 lambda2)))) (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (.f64 (cos.f64 phi2) -1/2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 lambda1 lambda1))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))
(+.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2))) -1/2))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))) (.f64 -1/6 (sin.f64 lambda2))))) (.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 lambda2)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 phi1)) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(fma.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 lambda2)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(fma.f64 -1/6 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 phi1)) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3))))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 1 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
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(/.f64 (fma.f64 (sin.f64 phi1) (.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (sin.f64 phi1)) (neg.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 2) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (sin.f64 phi1) (.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2)) 1) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
(/.f64 (fma.f64 (sin.f64 phi1) (.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (sin.f64 phi1)) (neg.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) 1) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 2) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (sin.f64 phi1) (.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3) 1/3)
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))) 2))
(fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))

eval122.0ms (0.2%)

Compiler: Compiled 13824 to 3345 computations (75.8% saved)

prune171.0ms (0.3%)

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	388	50	438
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	389	51	440

Error

3.0b

Counts

440 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	55.6b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
▶	40.4b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
	16.5b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
	16.2b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) 3)) (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))))) R))
	16.0b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))
	16.0b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
	16.0b	(/.f64 R (/.f64 (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
	15.9b	(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3) R)
	16.0b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) R)
	16.4b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3) R)
	16.0b	(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
	15.9b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))) R)
	15.9b	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	15.9b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.0b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	15.9b	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.1b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R)
▶	3.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
	28.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
	30.6b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
	30.6b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	16.0b	(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)) R)
	24.8b	(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	16.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
	3.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2)))))))) R)
	3.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) R)
	34.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
▶	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
▶	28.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
✓	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	30.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	16.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) R)
	28.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	32.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	37.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	38.6b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
	33.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	40.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
	34.6b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
▶	34.0b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
	15.9b	(.f64 (acos.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	33.5b	(.f64 (acos.f64 (fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	42.1b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
	45.9b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))

Compiler

Compiled 3294 to 2033 computations (38.3% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
✓	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
✓	0.7b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))

Compiler

Compiled 148 to 21 computations (85.8% saved)

series48.0ms (0.1%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
23.0ms	phi1	@	inf	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
5.0ms	lambda2	@	0	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
2.0ms	phi2	@	inf	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
1.0ms	lambda2	@	inf	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
1.0ms	lambda1	@	inf	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))

rewrite108.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`add-sqr-sqrt`
548×	`pow1`
548×	`*-un-lft-identity`
504×	`add-exp-log`
504×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	214
1	518	154
2	6843	154

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (/.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3))) (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 3) (pow.f64 (cos.f64 phi2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))

simplify158.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-in`
1324×	`distribute-rgt-in`
742×	`associate-r`
648×	`associate-+r+`
606×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	15861
1	906	15583
2	3601	15457

Stop Event

1×	node limit

Counts

261 → 201

Calls

Call 1

Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
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(pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) 1)
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (/.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 lambda2))) 2)
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2)))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(/.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(/.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3))) (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))))
(pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 3) (pow.f64 (cos.f64 phi2) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(exp.f64 (log.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 (sin.f64 lambda2))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2)))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1))))))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) -1/2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 (sin.f64 lambda2))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (fma.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(+.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (cos.f64 phi2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) -1/2) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 lambda1 3) -1/6)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 lambda2 (cos.f64 phi1)) (sin.f64 lambda1)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(fma.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (cos.f64 phi1)) (sin.f64 lambda1)) (fma.f64 -1/2 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(fma.f64 -1/6 (.f64 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (cos.f64 phi1)) (sin.f64 lambda1)) (fma.f64 -1/2 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(fma.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2))))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 lambda1))) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(+.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
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(expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(exp.f64 (log.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2) (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2))))
(.f64 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (-.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2) (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2)))
(.f64 (/.f64 (cos.f64 phi2) (/.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 (cos.f64 lambda2)))) (cos.f64 phi1))) (-.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2) (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2)))
(/.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3))) (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 (+.f64 lambda1 lambda2)))))
(/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3))))
(/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 (+.f64 lambda2 lambda1))) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2)) (+.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3))))
(pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 2)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 3)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3) 1/3)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(fabs.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 3)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 3) (pow.f64 (cos.f64 phi2) 3)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(exp.f64 (log.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) 1))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
✓	0.3b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
✓	1.1b	(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 43 to 11 computations (74.4% saved)

series8.0ms (0%)

Counts

3 → 48

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	lambda2	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
0.0ms	R	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
0.0ms	lambda1	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
0.0ms	lambda1	@	0	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`distribute-rgt-in`
804×	`associate-*r/`
796×	`distribute-lft-in`
672×	`associate-*l/`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	282	77
2	3797	77

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (*.f64 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(-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))

simplify105.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1448×	`unswap-sqr`
1062×	`distribute-lft-in`
1034×	`distribute-rgt-in`
582×	`associate-/l*`
552×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	7450
1	934	7172
2	3215	7070

Stop Event

1×	node limit

Counts

148 → 213

Calls

Call 1

Inputs
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 2))) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 6))) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 4))))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(+.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)
(.f64 1 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)
(pow.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))
(log.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (.f64 R (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 2))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1)) (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))
(+.f64 (.f64 1 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1))) (.f64 1 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1) (cos.f64 phi1)) (.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1) (cos.f64 phi1)))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 1) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 1))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)) 1) (.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)
(/.f64 2 (/.f64 2 (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (-.f64 lambda1 (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) lambda1) (+.f64 lambda2 phi1)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (/.f64 2 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) (/.f64 2 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)))) (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (*.f64 2 (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) -2)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 (-.f64 phi1 lambda1) lambda2))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 1) 2)
(/.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(/.f64 (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) -2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 (-.f64 phi1 lambda1) lambda2)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) 1) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 (-.f64 phi1 lambda1) lambda2))) 1) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)))) (*.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) 1/2) (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) 3)) 1/2) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

Outputs
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (acos.f64 (.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 R (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))
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(.f64 (/.f64 (cos.f64 phi1) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (cos.f64 lambda1) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda2)) (cos.f64 lambda1))))) (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) -2)
(*.f64 1/2 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(*.f64 1/2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(/.f64 (*.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 (-.f64 phi1 lambda1) lambda2)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))) 2)
(*.f64 1/2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))))
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (sqrt.f64 2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (sqrt.f64 2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(/.f64 (cos.f64 phi1) (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (-.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(.f64 (/.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda2) (neg.f64 (sin.f64 lambda1))))) (.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda2) (neg.f64 (sin.f64 lambda1)))) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(.f64 (/.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(/.f64 (cos.f64 phi1) (/.f64 (fma.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))) (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))
(.f64 (/.f64 (cos.f64 phi1) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (cos.f64 lambda1) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda2)) (cos.f64 lambda1))))) (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) 1) -2)
(*.f64 1/2 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(*.f64 1/2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 (-.f64 phi1 lambda1) lambda2))) 1) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))) 2)
(*.f64 1/2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))))
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (sqrt.f64 2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (sqrt.f64 2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2)) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)))) (*.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) 1/2) (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1))) (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (*.f64 2 (-.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))
(.f64 (.f64 1/2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (/.f64 (-.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) (-.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) (/.f64 (*.f64 2 (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))) (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) 3)) 1/2) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) 3)) (/.f64 (fma.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (*.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (-.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1))))) 1/2))
(/.f64 1/2 (/.f64 (fma.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (-.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) 3)) (fma.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (-.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))))))) 1/2)
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3) 1/3)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) 2))
(fabs.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi1) 3)))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))

localize33.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
✓	0.8b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))
✓	3.0b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 106 to 18 computations (83% saved)

series10.0ms (0%)

Counts

3 → 124

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
0.0ms	lambda2	@	0	(cos.f64 (-.f64 lambda2 lambda1))
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
0.0ms	R	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)

rewrite127.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`associate-*r/`
496×	`add-sqr-sqrt`
492×	`pow1`
492×	`*-un-lft-identity`
488×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	127
1	455	119
2	6239	119

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

(cos.f64 (-.f64 lambda2 lambda1))

(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)

Outputs

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(asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 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lambda1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))))))

simplify129.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1536×	`unswap-sqr`
1100×	`distribute-lft-in`
1084×	`distribute-rgt-in`
446×	`associate-r`
374×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	11123
1	613	10461
2	2472	10433

Stop Event

1×	node limit

Counts

199 → 137

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
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(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))
(pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))

Outputs
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (*.f64 (neg.f64 lambda2) (sin.f64 (neg.f64 lambda1))))
(-.f64 (cos.f64 lambda1) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (fma.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)))))
(+.f64 (cos.f64 lambda1) (fma.f64 (.f64 (.f64 -1/2 lambda2) lambda2) (cos.f64 lambda1) (neg.f64 (*.f64 (neg.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 lambda1) (fma.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda1)) (pow.f64 lambda2 3)) (fma.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (.f64 (.f64 -1/2 lambda2) lambda2)) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (*.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2)))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (-.f64 (.f64 1/6 (pow.f64 lambda2 3)) lambda2)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (*.f64 lambda1 (sin.f64 lambda2))))
(+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 -1/2 (.f64 lambda1 (*.f64 lambda1 (cos.f64 lambda2))))))
(+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 -1/2 (cos.f64 lambda2)) lambda1))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(fma.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (.f64 -1/2 (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2))))) (fma.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (cos.f64 lambda2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 (pow.f64 lambda1 3) -1/6))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 1)
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 2)
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 2))
(sqrt.f64 (pow.f64 (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))) 2))
(fabs.f64 (.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R))))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3) (pow.f64 R 3)))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3)))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 1))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
✓	0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 lambda2) -1/2) lambda1)))))))

Compiler

Compiled 179 to 68 computations (62% saved)

series23.0ms (0%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
1.0ms	lambda2	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))
1.0ms	lambda2	@	-inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))
1.0ms	phi1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))
1.0ms	phi2	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`add-sqr-sqrt`
604×	`pow1`
604×	`*-un-lft-identity`
564×	`add-exp-log`
564×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	235
1	570	211

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs

(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))))

(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))))

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))))))

simplify242.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`unswap-sqr`
742×	`associate-r`
718×	`times-frac`
596×	`associate-l`
558×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	18903
1	867	17953
2	3552	17399

Stop Event

1×	node limit

Counts

223 → 185

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 1)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 2))) (-.f64 (cos.f64 lambda2) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 3))) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) (-.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2))) (cos.f64 lambda2)))))
(/.f64 (.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (-.f64 (cos.f64 lambda2) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 3)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) (-.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2))) (cos.f64 lambda2)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 3) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))) 3)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))))) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2))))))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (-.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 2))) (.f64 2 (-.f64 (cos.f64 lambda2) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (+.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 3))) (.f64 2 (+.f64 (pow.f64 (cos.f64 lambda2) 2) (.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) (-.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2))) (cos.f64 lambda2))))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 2)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 (cos.f64 lambda2) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)))) 2))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) 3)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (+.f64 (pow.f64 (cos.f64 lambda2) 2) (.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2))) (-.f64 (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2))) (cos.f64 lambda2)))) 2))
(pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R))) 1)
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 2))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) R))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))

Outputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))) 3))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))) 1))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)))))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)))))
(.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R))) 1)
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 1)
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 2)
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 3)
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 3) 1/3)
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 2))
(sqrt.f64 (pow.f64 (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) 2))
(fabs.f64 (.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(fabs.f64 (.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2)))))) R))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R))))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R) 3))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3) (pow.f64 R 3)))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) 3)))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)) 1))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 lambda1 -1/2) (sin.f64 lambda2)) (cos.f64 lambda2))))) R)))
(.f64 (acos.f64 (fma.f64 (fma.f64 (+.f64 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1))) lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 (cos.f64 lambda2) (.f64 -1/2 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
	0.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
	0.7b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 132 to 20 computations (84.8% saved)

series21.0ms (0%)

Counts

1 → 48

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	R	@	-inf	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
1.0ms	R	@	0	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
1.0ms	R	@	inf	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
1.0ms	lambda2	@	inf	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
1.0ms	phi1	@	0	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)

rewrite97.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`associate-*r/`
494×	`add-sqr-sqrt`
486×	`*-un-lft-identity`
484×	`pow1`
454×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	57
1	484	57
2	5932	57

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4) (*.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4) (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (*.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (*.f64 (sqrt.f64 R) (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 R) (*.f64 (sqrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))) (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 2) (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 R) 2) (*.f64 (cbrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4)) (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 R)) (sqrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (cbrt.f64 R) 2)) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2)) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))) (cbrt.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))))))

simplify129.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1620×	`distribute-lft-in`
1616×	`distribute-rgt-in`
1100×	`associate-r`
948×	`associate-l`
532×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	5476
1	298	5412
2	689	5288
3	3035	5288

Stop Event

1×	node limit

Counts

82 → 52

Calls

Call 1

Inputs
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))) 1)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)
(.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(.f64 1 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))
(.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4) (.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4) (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (sqrt.f64 R) (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))
(.f64 (sqrt.f64 R) (.f64 (sqrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))
(.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 2))
(.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))) (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 2) (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(.f64 (pow.f64 (cbrt.f64 R) 2) (.f64 (cbrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4)) (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1/4))
(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 R)) (sqrt.f64 R))
(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (cbrt.f64 R) 2)) (cbrt.f64 R))
(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (.f64 R (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2)) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 R))
(.f64 (.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))) (cbrt.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 2))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))

Outputs
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
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(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)) 1))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

eval869.0ms (1.3%)

Compiler: Compiled 36745 to 10708 computations (70.9% saved)

prune588.0ms (0.9%)

Pruning

85 alts after pruning (82 fresh and 3 done)

	Pruned	Kept	Total
New	1044	59	1103
Fresh	22	23	45
Picked	1	0	1
Done	2	3	5
Total	1069	85	1154

Error

2.9b

Counts

1154 → 85

Alt Table

Click to see full alt table

Status	Error	Program
	55.6b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)
	57.7b	(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
	47.3b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)) 2)
	46.6b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)) 2)
	16.5b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)
	34.4b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
	16.2b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) 3)) (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))))) R))
	34.1b	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R))
	34.1b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
	34.1b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
	34.1b	(/.f64 (.f64 R (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
	16.0b	(/.f64 R (/.f64 (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
	34.1b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
	34.0b	(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
▶	16.0b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2) R)
	16.4b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 3) R)
	16.5b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))
	34.3b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
	16.0b	(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
	15.9b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))) R)
	34.1b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	40.4b	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 R)) (sqrt.f64 R))
	16.0b	(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
	15.9b	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))) R)
	15.9b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
▶	34.1b	(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	16.0b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))) R)
	34.1b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	34.1b	(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	34.1b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
	28.5b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	3.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
✓	3.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
	30.6b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
	28.1b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	34.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (fabs.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) R)
▶	30.6b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	34.3b	(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
	40.0b	(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
	40.1b	(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
	35.9b	(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	45.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (/.f64 1 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	48.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	30.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	16.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
▶	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	36.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
✓	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	57.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
	28.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	42.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	32.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	37.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	38.6b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
	33.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	40.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
	27.7b	(.f64 (acos.f64 (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))) R)
	27.7b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
	49.2b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
	48.4b	(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
	42.0b	(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
	39.8b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
	39.9b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
	34.6b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
✓	34.0b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
	47.9b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
	44.3b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
	42.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
	34.1b	(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	34.1b	(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	33.5b	(.f64 (acos.f64 (fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	43.0b	(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
▶	44.5b	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
	50.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
	45.9b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))
	51.2b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))

Compiler

Compiled 4565 to 3011 computations (34% saved)

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
✓	0.7b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))

Compiler

Compiled 147 to 22 computations (85% saved)

series9.0ms (0%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
0.0ms	lambda2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
0.0ms	phi2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)

rewrite107.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`add-sqr-sqrt`
576×	`pow1`
576×	`*-un-lft-identity`
532×	`add-exp-log`
532×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	148
1	538	108
2	7520	108

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs

(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))))

simplify193.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1434×	`fma-def`
1256×	`associate-+r+`
1164×	`associate-+l+`
838×	`*-commutative`
728×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	10472
1	271	10408
2	1006	10408
3	3530	10284

Stop Event

1×	node limit

Counts

146 → 60

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
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(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(+.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))
(pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
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(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
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(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
✓	1.3b	(acos.f64 (cos.f64 (-.f64 lambda2 lambda1)))
	3.0b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series19.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	lambda2	@	-inf	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
0.0ms	R	@	0	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
0.0ms	R	@	inf	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
0.0ms	lambda1	@	0	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
0.0ms	lambda1	@	inf	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)

rewrite104.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`*-commutative`
834×	`unswap-sqr`
742×	`associate-*r/`
582×	`swap-sqr`
572×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	225	20
2	2769	20

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

Inputs
(acos.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 lambda2 (neg.f64 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 lambda1) lambda2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (-.f64 lambda2 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (-.f64 lambda2 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (-.f64 lambda2 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 lambda2 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 lambda2 (exp.f64 (log1p.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 lambda2 lambda1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 lambda2 (-.f64 lambda1 (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 lambda2 (-.f64 lambda1 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 lambda2 (-.f64 lambda1 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 lambda1 lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 lambda2)) (+.f64 lambda1 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 lambda2)) (-.f64 1 (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) (-.f64 1 (fma.f64 (neg.f64 lambda1) 1 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 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(*.f64 (-.f64 lambda2 lambda1) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 lambda2 lambda1) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 lambda2 lambda1) R)))))))

simplify162.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1618×	`associate-+l-`
1370×	`associate-+r-`
664×	`associate-/l*`
628×	`fma-def`
554×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	8622
1	1369	8006
2	6347	8006

Stop Event

1×	node limit

Counts

256 → 308

Calls

Call 1

Inputs
(*.f64 -1 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
lambda2
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
lambda2
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
lambda2
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(*.f64 -1 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(*.f64 -1 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (*.f64 -1 lambda1) lambda2)
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 lambda2 (neg.f64 lambda1))
(+.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) 1))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) 1))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) 1))
(+.f64 (neg.f64 lambda1) lambda2)
(+.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1))
(+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (-.f64 lambda2 lambda1))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (-.f64 lambda2 lambda1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (-.f64 lambda2 lambda1))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 lambda2 lambda1))
(+.f64 (-.f64 lambda2 (exp.f64 (log1p.f64 lambda1))) 1)
(-.f64 lambda2 lambda1)
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(/.f64 (.f64 (.f64 R (sqrt.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3)))) (sqrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(/.f64 (.f64 (.f64 R (sqrt.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)))) (sqrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (.f64 (.f64 R (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 2)) (cbrt.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3)))) (cbrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(/.f64 (.f64 (.f64 R (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 2)) (cbrt.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)))) (cbrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))))) R) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 (+.f64 (pow.f64 lambda2 3) (pow.f64 (neg.f64 lambda1) 3)) R) (+.f64 (.f64 lambda2 lambda2) (*.f64 (neg.f64 lambda1) (-.f64 (neg.f64 lambda1) lambda2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 lambda2 lambda2)) (*.f64 lambda1 lambda1)) R) (neg.f64 (+.f64 lambda2 lambda1)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) R) (neg.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))
(/.f64 (.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) 1) (+.f64 lambda2 lambda1))
(/.f64 (.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) 1) (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (.f64 R (sqrt.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) (.f64 R (sqrt.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) 1) (+.f64 lambda2 lambda1))
(/.f64 (/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (sqrt.f64 (+.f64 lambda2 lambda1))) (sqrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) (.f64 (cbrt.f64 (+.f64 lambda2 lambda1)) (cbrt.f64 (+.f64 lambda2 lambda1)))) (cbrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (/.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) 1) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))
(/.f64 (/.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (sqrt.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))) (sqrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(/.f64 (/.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (.f64 (cbrt.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))) (cbrt.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))) (cbrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (-.f64 lambda2 lambda1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 lambda2 lambda1) R))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) (pow.f64 R 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 lambda2 lambda1) R)))

Outputs
(*.f64 -1 lambda1)
(neg.f64 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
lambda2
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
lambda2
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
lambda2
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(*.f64 -1 lambda1)
(neg.f64 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(*.f64 -1 lambda1)
(neg.f64 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (*.f64 -1 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(*.f64 lambda1 (neg.f64 R))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(*.f64 lambda1 (neg.f64 R))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(*.f64 lambda1 (neg.f64 R))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(+.f64 lambda2 (neg.f64 lambda1))
(-.f64 lambda2 lambda1)
(+.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))
(-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1))
(+.f64 lambda2 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) lambda1))
(+.f64 lambda2 (+.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))
(-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1))
(+.f64 lambda2 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 2 (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(fma.f64 2 (+.f64 lambda1 (neg.f64 lambda1)) (-.f64 lambda2 lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (-.f64 lambda2 lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 lambda2 (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1)) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 lambda2 (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) (-.f64 lambda2 lambda1))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))
(-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1))
(+.f64 lambda2 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1) 1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))
(-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) 1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1))
(+.f64 lambda2 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 lambda1)) (sqrt.f64 lambda1) lambda1) lambda1))
(+.f64 (-.f64 lambda2 lambda1) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1) 1))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))
(+.f64 (neg.f64 lambda1) lambda2)
(-.f64 lambda2 lambda1)
(+.f64 (neg.f64 lambda1) (+.f64 lambda2 (fma.f64 (neg.f64 lambda1) 1 lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (fma.f64 (neg.f64 lambda1) 1 lambda1))
(-.f64 (+.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
(+.f64 (-.f64 (-.f64 lambda2 lambda1) lambda1) lambda1)
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(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (sqrt.f64 (+.f64 lambda2 lambda1))) (sqrt.f64 (+.f64 lambda2 lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) (.f64 (cbrt.f64 (+.f64 lambda2 lambda1)) (cbrt.f64 (+.f64 lambda2 lambda1)))) (cbrt.f64 (+.f64 lambda2 lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (/.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) 1) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))
(.f64 (/.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3)) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda1 lambda2)))) R)
(/.f64 R (/.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda1 lambda2))) (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))))
(/.f64 (/.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (sqrt.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))) (sqrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(.f64 (/.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3)) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda1 lambda2)))) R)
(/.f64 R (/.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda1 lambda2))) (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))))
(/.f64 (/.f64 (.f64 R (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (.f64 (cbrt.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))) (cbrt.f64 (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))) (cbrt.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda2 lambda1)))))
(.f64 (/.f64 (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3)) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda1 lambda2)))) R)
(/.f64 R (/.f64 (fma.f64 lambda2 lambda2 (*.f64 lambda1 (+.f64 lambda1 lambda2))) (-.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))))
(pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 2))
(sqrt.f64 (pow.f64 (*.f64 R (-.f64 lambda2 lambda1)) 2))
(fabs.f64 (*.f64 R (-.f64 lambda2 lambda1)))
(log.f64 (pow.f64 (exp.f64 R) (-.f64 lambda2 lambda1)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 lambda2 lambda1) R))))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) (pow.f64 R 3)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(fma.f64 lambda2 R (*.f64 R (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
✓	0.6b	(log.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
	1.1b	(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 64 to 13 computations (79.7% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	lambda2	@	inf	(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
0.0ms	lambda1	@	-inf	(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
0.0ms	lambda2	@	-inf	(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
0.0ms	lambda1	@	0	(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
0.0ms	phi1	@	-inf	(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

rewrite169.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`distribute-rgt-in`
782×	`associate-*r/`
776×	`distribute-lft-in`
636×	`associate-*l/`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	273	54
2	3512	54

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(log.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2) (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (exp.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) 1) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)) (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))))

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

840×	`*-commutative`
828×	`associate-+l+`
774×	`associate-/l*`
748×	`unswap-sqr`
624×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	3850
1	354	3574
2	1293	3574
3	4654	3554

Stop Event

1×	node limit

Counts

110 → 80

Calls

Call 1

Inputs
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(+.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 0)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(+.f64 0 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)))
(+.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) 1/2))
(+.f64 (+.f64 0 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(-.f64 (+.f64 0 (.f64 (PI.f64) 1/2)) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)
(.f64 1 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)
(pow.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)
(.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(.f64 1 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2) (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 1 (exp.f64 (.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 (exp.f64 (.f64 (PI.f64) 1/2)) 1) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)) (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(pow.f64 (exp.f64 1) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
(log.f64 (exp.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(log1p.f64 (expm1.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))

Outputs
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 0)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(+.f64 0 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3)
(+.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (+.f64 0 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3)
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3)
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(-.f64 (+.f64 0 (.f64 (PI.f64) 1/2)) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 1 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) (.f64 1/4 (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) (.f64 1/4 (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) (.f64 1/4 (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) (fma.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3)
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(exp.f64 (log.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 1 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2) (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 1 (exp.f64 (.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 (exp.f64 (.f64 (PI.f64) 1/2)) 1) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 2)
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 3)
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) 1/3)
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)) (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (exp.f64 1) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(log.f64 (exp.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(expm1.f64 (log1p.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(log1p.f64 (expm1.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 (fma.f64 -1 lambda1 lambda2)))))
(exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
✓	1.6b	(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))

Compiler

Compiled 72 to 15 computations (79.2% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	R	@	-inf	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
1.0ms	phi1	@	-inf	(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
1.0ms	phi2	@	inf	(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
1.0ms	lambda2	@	-inf	(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
1.0ms	lambda2	@	inf	(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))

rewrite114.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`distribute-rgt-in`
588×	`distribute-lft-in`
552×	`associate-*r/`
460×	`associate-*l/`
392×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	137
1	366	137
2	4626	137

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))

(*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

(fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 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(*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (*.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (+.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) 1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule 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(*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2) (cbrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 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(*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) 1) (-.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))))

simplify121.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1504×	`unswap-sqr`
1170×	`distribute-lft-in`
1154×	`distribute-rgt-in`
502×	`associate-/l*`
464×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	8123
1	675	7869
2	2671	7761

Stop Event

1×	node limit

Counts

123 → 158

Calls

Call 1

Inputs
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
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(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
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(.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
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(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
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(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (.f64 R (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) 1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))
(.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)
(.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2) (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) 1) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))

Outputs
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(fma.f64 (sin.f64 phi1) phi2 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(fma.f64 (cos.f64 phi1) (cos.f64 lambda2) (*.f64 (sin.f64 phi1) phi2))
(+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (sin.f64 phi1) phi2 (fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 phi2 phi2))) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (sin.f64 phi1) phi2 (fma.f64 (cos.f64 phi1) (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda2) (.f64 phi2 phi2)) -1/2))))
(fma.f64 (sin.f64 phi1) phi2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (+.f64 1 (.f64 (.f64 phi2 phi2) -1/2))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 (sin.f64 phi1) phi2 (fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 phi2 phi2))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 (sin.f64 phi1) phi2 (fma.f64 (cos.f64 phi1) (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda2) (*.f64 phi2 phi2)) -1/2)))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (+.f64 1 (.f64 (.f64 phi2 phi2) -1/2))) (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(*.f64 (cos.f64 lambda2) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (*.f64 phi1 (sin.f64 phi2)))
(fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(fma.f64 -1/2 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (.f64 phi1 phi1)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi2) (pow.f64 phi1 3)) (fma.f64 -1/2 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (.f64 phi1 phi1)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi2) (pow.f64 phi1 3)) (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (.f64 (cos.f64 lambda2) (cos.f64 phi2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (.f64 (sin.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi1) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (fma.f64 -1/2 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (fma.f64 1/24 (.f64 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2)) (cos.f64 phi1)) (fma.f64 -1/2 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (.f64 -1/2 (.f64 lambda2 lambda2)))) (fma.f64 (cos.f64 phi1) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 1 (.f64 1/24 (pow.f64 lambda2 4))) (.f64 -1/2 (.f64 lambda2 lambda2)))))
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(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) R))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (/.f64 (fma.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (*.f64 1/4 (PI.f64)))) R))
(pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(fabs.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) 1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (expm1.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))
(-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (expm1.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))
(-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (expm1.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))
(-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))
(-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2) (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2))))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2))))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) 3)) (fma.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2))))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2))))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) 3)) (fma.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) 1) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2))))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2))))) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) 3)) (fma.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2)) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))))
(pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2)
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) 1/3)
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2))
(fabs.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2) R)
✓	0.5b	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)
✓	0.7b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
	3.0b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 129 to 22 computations (82.9% saved)

series20.0ms (0%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)
1.0ms	phi1	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)
1.0ms	lambda2	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)
1.0ms	phi2	@	inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)
1.0ms	phi2	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)

rewrite153.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`associate-*r/`
852×	`associate-*l/`
494×	`add-sqr-sqrt`
486×	`*-un-lft-identity`
484×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	159
1	485	159
2	5906	159

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))

(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)

(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2) R)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 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(sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))))

simplify217.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-/l*`
750×	`unswap-sqr`
602×	`associate-/r*`
564×	`distribute-lft-in`
546×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	14889
1	346	14857
2	1219	14597
3	4749	14597

Stop Event

1×	node limit

Counts

237 → 84

Calls

Call 1

Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))

Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
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(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
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(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
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(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))
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(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 1)
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1))))
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(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 3)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 3) 1/3)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 2))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 3))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 3) (pow.f64 R 3)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)) 1))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

eval450.0ms (0.7%)

Compiler: Compiled 28552 to 8415 computations (70.5% saved)

prune830.0ms (1.3%)

Pruning

117 alts after pruning (113 fresh and 4 done)

	Pruned	Kept	Total
New	1037	64	1101
Fresh	28	49	77
Picked	1	0	1
Done	3	4	7
Total	1069	117	1186

Error

1.4b

Counts

1186 → 117

Alt Table

Click to see full alt table

Status	Error	Program
	62.4b	(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
	55.6b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)
	57.7b	(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
	61.1b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
	47.3b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)) 2)
	46.6b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)) 2)
	59.1b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
	16.5b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)
	31.0b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	34.4b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
	44.6b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))))) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
	60.0b	(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
	44.6b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))
	44.6b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))))) R) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
	60.4b	(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
	16.0b	(/.f64 R (/.f64 (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
	59.1b	(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
	30.6b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R))
	34.1b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
	44.6b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
	60.5b	(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
	34.0b	(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
	3.6b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) 2) R)
	34.7b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) 2) R)
	28.7b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))) 2) R)
	59.1b	(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
	16.5b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))
	30.9b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3) R)
	34.3b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
	59.8b	(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
	30.6b	(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
	59.1b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
	59.1b	(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
	30.6b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	34.1b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	44.6b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
	60.9b	(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
	59.1b	(*.f64 (-.f64 lambda2 lambda1) R)
	60.3b	(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
	59.8b	(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
	34.3b	(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
	16.0b	(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
	60.1b	(*.f64 (neg.f64 lambda1) R)
	34.1b	(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	34.1b	(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
	62.7b	(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
	15.9b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	42.0b	(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
	51.7b	(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
	30.7b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
	34.1b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	59.2b	(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
	34.1b	(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	60.4b	(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
	34.1b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
	28.5b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	30.6b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
	34.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (fabs.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) R)
✓	30.6b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	44.3b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
	43.7b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	41.2b	(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
	34.3b	(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
	44.7b	(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
	40.1b	(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
	37.3b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) R)
	37.3b	(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))) R)
	30.6b	(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))) R)
	33.8b	(.f64 (acos.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
▶	15.9b	(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	55.7b	(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
	45.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	30.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	16.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
	3.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	36.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
✓	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	57.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
	28.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	24.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	42.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	47.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	41.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
	38.6b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
▶	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
▶	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	25.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	33.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	40.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
	55.7b	(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
	55.8b	(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
	27.7b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
	49.2b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
	42.0b	(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
	39.8b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
	39.9b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
▶	34.6b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
✓	34.0b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
	44.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
	44.3b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
	42.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
	34.1b	(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	34.1b	(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	43.0b	(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	49.4b	(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
✓	44.5b	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
	52.5b	(*.f64 (acos.f64 (cos.f64 lambda2)) R)
	50.8b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
▶	60.1b	(*.f64 lambda2 R)
	61.2b	(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
	50.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
	45.9b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))
	51.2b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))

Compiler

Compiled 5180 to 3632 computations (29.9% saved)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
✓	0.3b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
✓	0.7b	(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))

Compiler

Compiled 156 to 22 computations (85.9% saved)

series8.0ms (0%)

Counts

3 → 52

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	lambda1	@	-inf	(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
0.0ms	lambda2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	lambda2	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	lambda1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

rewrite461.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`add-sqr-sqrt`
574×	`pow1`
574×	`*-un-lft-identity`
530×	`add-exp-log`
530×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	163
1	536	123
2	7415	123

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs

(acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))

(*.f64 (acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) (/.f64 (cos.f64 (+.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))

simplify124.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

954×	`unswap-sqr`
890×	`fma-def`
700×	`+-commutative`
694×	`*-commutative`
480×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	6328
1	458	6244
2	1635	6192
3	5414	6052

Stop Event

1×	node limit

Counts

108 → 105

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 lambda2 (sin.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (.f64 -1/5040 (*.f64 (pow.f64 lambda2 7) (sin.f64 lambda1))))))
(*.f64 (sin.f64 lambda2) lambda1)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(+.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (*.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) 1)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
(.f64 1 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)
(pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1)
(-.f64 (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) (/.f64 (cos.f64 (+.f64 lambda2 lambda1)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))))
(/.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(exp.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))) 1)
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(-.f64 (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) (/.f64 (cos.f64 (+.f64 lambda2 lambda1)) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1))) -2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))))
(/.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1))) -2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda2 lambda1))) 2)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(pow.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) 1/3)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(exp.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

localize5.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
✓	0.3b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
✓	0.8b	(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 43 to 11 computations (74.4% saved)

series9.0ms (0%)

Counts

3 → 76

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	lambda1	@	inf	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.0ms	lambda1	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.0ms	R	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
0.0ms	lambda2	@	-inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)

rewrite96.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`distribute-rgt-in`
804×	`associate-*r/`
796×	`distribute-lft-in`
672×	`associate-*l/`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	282	77
2	3797	77

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1)) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 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/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) 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(-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))

simplify121.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1448×	`unswap-sqr`
1062×	`distribute-lft-in`
1034×	`distribute-rgt-in`
582×	`associate-/l*`
552×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	8244
1	940	8026
2	3226	7922

Stop Event

1×	node limit

Counts

176 → 207

Calls

Call 1

Inputs
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 lambda1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6))))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(+.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) 1)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)
(.f64 1 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))
(log.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (.f64 R (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R) 2))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1)) (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))
(+.f64 (.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) (.f64 1 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2))) (.f64 1 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1) (cos.f64 phi2)) (.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1) (cos.f64 phi2)))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 1) (.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 1))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)) 1) (.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)
(/.f64 2 (/.f64 2 (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)) (-.f64 lambda1 (+.f64 lambda2 phi2))) 2)) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)) lambda1) (+.f64 lambda2 phi2)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (/.f64 2 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) (/.f64 2 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (*.f64 2 (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) -2)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 phi2 lambda1) lambda2))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 1) 2)
(/.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(/.f64 (.f64 (cos.f64 phi2) (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) -2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 phi2 lambda1) lambda2)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (cos.f64 phi2)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) 1) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 phi2 lambda1) lambda2))) 1) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)))) (*.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) 1/2) (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) 3)) 1/2) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))))
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))

Outputs
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)))
(acos.f64 (*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2)))
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(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)))) (*.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) 1/2) (-.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2))) (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) (*.f64 2 (-.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))))
(/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (/.f64 2 (-.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) (-.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (/.f64 (-.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (-.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))) 1/2)
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) 3)) 1/2) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2)))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))))))
(/.f64 (.f64 1/2 (+.f64 (pow.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) 3))) (fma.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (-.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2))))))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 3) (pow.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) 3)) (fma.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (-.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))) (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))))) 1/2)
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) 1/3)
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 2))
(fabs.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(*.f64 (cos.f64 (fma.f64 -1 lambda1 lambda2)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
✓	1.5b	(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series5.0ms (0%)

Counts

3 → 16

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	R	@	0	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	phi2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
0.0ms	phi2	@	0	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

rewrite118.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`associate-*r/`
870×	`associate-*l/`
730×	`distribute-lft-in`
404×	`associate-+l+`
350×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	107
1	321	47
2	4368	47

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

(acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))

(*.f64 (acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))))))

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phi2)) (-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 phi2 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 phi1 phi2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 phi2 phi1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 phi1) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (cbrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))

simplify137.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-l`
664×	`associate-r`
656×	`distribute-lft-neg-in`
656×	`associate-/l*`
626×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	9701
1	1108	9335
2	5541	9309

Stop Event

1×	node limit

Counts

161 → 228

Calls

Call 1

Inputs
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2)))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) 1)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 1)
(*.f64 1 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(*.f64 (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(*.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))
(pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3)
(pow.f64 (pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 2))
(log.f64 (exp.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))))
(cbrt.f64 (pow.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(exp.f64 (log.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
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(/.f64 (.f64 (sqrt.f64 (cos.f64 (-.f64 phi2 phi1))) (sqrt.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))) (sqrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2) (cbrt.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))) (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)) 1) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (*.f64 2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))) 1) 4)
(/.f64 (.f64 (+.f64 (.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (*.f64 2 (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))) 1) 4)
(/.f64 (.f64 (neg.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1)))) 1) (neg.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) (sqrt.f64 (cos.f64 (-.f64 phi2 phi1)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 (cos.f64 (-.f64 phi2 phi1)))) (sqrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2)) (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)) (.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))) (/.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) 3)) (/.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3)) (.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3)) (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 1) (cos.f64 (+.f64 phi2 phi1)))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) (sqrt.f64 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) (.f64 (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))) (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))))) (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(/.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) (+.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(pow.f64 (cos.f64 (-.f64 phi2 phi1)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 phi2 phi1)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 3))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (-.f64 phi1 phi2))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 phi2 phi1))))
(exp.f64 (log.f64 (cos.f64 (-.f64 phi2 phi1))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 phi2 phi1))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 phi2 phi1))))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi1) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 1 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 1 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

Outputs
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1))
(fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) (fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1)))
(fma.f64 -1/2 (.f64 phi2 (.f64 phi2 (cos.f64 phi1))) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 -1/2 (.f64 phi2 (*.f64 phi2 (cos.f64 phi1))) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2)))
(fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (cos.f64 phi2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 -1/6 (.f64 (sin.f64 phi2) (pow.f64 phi1 3)) (+.f64 (cos.f64 phi2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) (.f64 phi1 (sin.f64 phi2)))))
(+.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) (.f64 phi1 (sin.f64 phi2))) (fma.f64 -1/6 (.f64 (sin.f64 phi2) (pow.f64 phi1 3)) (cos.f64 phi2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (cos.f64 phi2)) (.f64 (sin.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))
(+.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(+.f64 0 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(acos.f64 (cos.f64 (-.f64 phi2 phi1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) 1)
(+.f64 0 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(acos.f64 (cos.f64 (-.f64 phi2 phi1)))
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) 1)
(+.f64 0 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(acos.f64 (cos.f64 (-.f64 phi2 phi1)))
(*.f64 1 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(+.f64 0 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(acos.f64 (cos.f64 (-.f64 phi2 phi1)))
(*.f64 (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (sqrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))))
(+.f64 0 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(acos.f64 (cos.f64 (-.f64 phi2 phi1)))
(*.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 2))
(+.f64 0 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))
(acos.f64 (cos.f64 (-.f64 phi2 phi1)))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 6) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 6)) (.f64 (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 6) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 6)) (.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) 3)) (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2))) (fma.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (-.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3)) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 6)))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 1) (cos.f64 (+.f64 phi2 phi1)))
(cos.f64 (-.f64 phi2 phi1))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) (sqrt.f64 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(cos.f64 (-.f64 phi2 phi1))
(/.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) (.f64 (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))) (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))))) (cbrt.f64 (cos.f64 (+.f64 phi2 phi1))))
(cos.f64 (-.f64 phi2 phi1))
(/.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) (+.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) (-.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (/.f64 (cos.f64 (+.f64 phi2 phi1)) (+.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (fma.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))
(pow.f64 (cos.f64 (-.f64 phi2 phi1)) 1)
(cos.f64 (-.f64 phi2 phi1))
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 phi2 phi1))) 2)
(cos.f64 (-.f64 phi2 phi1))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)
(cos.f64 (-.f64 phi2 phi1))
(pow.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 3) 1/3)
(cos.f64 (-.f64 phi2 phi1))
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 2))
(fabs.f64 (cos.f64 (-.f64 phi2 phi1)))
(log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))
(cos.f64 (-.f64 phi2 phi1))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 phi2 phi1)))))
(cos.f64 (-.f64 phi2 phi1))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 phi2 phi1)) 3))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (-.f64 phi1 phi2))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 phi2 phi1))))
(cos.f64 (-.f64 phi2 phi1))
(exp.f64 (log.f64 (cos.f64 (-.f64 phi2 phi1))))
(cos.f64 (-.f64 phi2 phi1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 phi2 phi1))) 1))
(cos.f64 (-.f64 phi2 phi1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 phi2 phi1))))
(cos.f64 (-.f64 phi2 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi1) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 1 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 1 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	0.7b	(acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	2.2b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
	3.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 132 to 31 computations (76.5% saved)

series112.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
51.0ms	phi1	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
22.0ms	phi2	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
15.0ms	phi2	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
12.0ms	phi1	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)
3.0ms	phi1	@	0	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)

rewrite126.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`associate-+l+`
534×	`add-sqr-sqrt`
526×	`*-un-lft-identity`
524×	`pow1`
494×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	131
1	517	123
2	6770	123

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1)

(acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

(*.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 phi1) (sin.f64 phi2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 phi2) (sin.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 phi1)) (*.f64 (sqrt.f64 (sin.f64 phi1)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 phi2)) (*.f64 (sqrt.f64 (sin.f64 phi2)) (sin.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 phi1)) 2) (*.f64 (cbrt.f64 (sin.f64 phi1)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 phi2)) 2) (*.f64 (cbrt.f64 (sin.f64 phi2)) 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simplify144.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1882×	`unswap-sqr`
726×	`+-commutative`
472×	`associate-l`
466×	`fma-def`
452×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	12869
1	860	10629
2	3366	10469

Stop Event

1×	node limit

Counts

223 → 145

Calls

Call 1

Inputs
(*.f64 phi1 (sin.f64 phi2))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 2)) (.f64 1/2 (pow.f64 (sin.f64 phi2) 2))) (pow.f64 phi1 2)) (.f64 phi1 (sin.f64 phi2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 2)) (.f64 1/2 (pow.f64 (sin.f64 phi2) 2))) (pow.f64 phi1 2)) (+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1 (sin.f64 phi2)) (.f64 2 (pow.f64 (sin.f64 phi2) 3)))) (.f64 1/6 (pow.f64 (sin.f64 phi2) 3))))) (.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 (pow.f64 phi1 4) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 phi2) 4)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -1 (sin.f64 phi2)) (.f64 2 (pow.f64 (sin.f64 phi2) 3))) (sin.f64 phi2))) (+.f64 (.f64 1/24 (pow.f64 (sin.f64 phi2) 4)) (+.f64 (.f64 1/24 (+.f64 (.f64 -6 (pow.f64 (sin.f64 phi2) 4)) (.f64 4 (pow.f64 (sin.f64 phi2) 2)))) (.f64 1/8 (pow.f64 (sin.f64 phi2) 4))))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 2)) (.f64 1/2 (pow.f64 (sin.f64 phi2) 2))) (pow.f64 phi1 2)) (+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1 (sin.f64 phi2)) (.f64 2 (pow.f64 (sin.f64 phi2) 3)))) (.f64 1/6 (pow.f64 (sin.f64 phi2) 3))))) (*.f64 phi1 (sin.f64 phi2)))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) phi2)
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (pow.f64 phi2 2)) (.f64 (sin.f64 phi1) phi2))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (pow.f64 phi2 2)) (+.f64 (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 3)) (+.f64 (.f64 1/6 (pow.f64 (sin.f64 phi1) 3)) (.f64 1/6 (+.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 3)) (.f64 -1 (sin.f64 phi1))))))) (.f64 (sin.f64 phi1) phi2)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (pow.f64 phi2 2)) (+.f64 (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 3)) (+.f64 (.f64 1/6 (pow.f64 (sin.f64 phi1) 3)) (.f64 1/6 (+.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 3)) (.f64 -1 (sin.f64 phi1))))))) (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 phi1) 4)) (+.f64 (.f64 1/24 (+.f64 (.f64 4 (pow.f64 (sin.f64 phi1) 2)) (.f64 -6 (pow.f64 (sin.f64 phi1) 4)))) (+.f64 (.f64 1/24 (pow.f64 (sin.f64 phi1) 4)) (+.f64 (.f64 1/8 (pow.f64 (sin.f64 phi1) 4)) (.f64 1/6 (.f64 (sin.f64 phi1) (+.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 3)) (*.f64 -1 (sin.f64 phi1))))))))) (pow.f64 phi2 4)))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(acos.f64 (-.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
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(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))
(pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))

Outputs
(*.f64 phi1 (sin.f64 phi2))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 2)) (.f64 1/2 (pow.f64 (sin.f64 phi2) 2))) (pow.f64 phi1 2)) (.f64 phi1 (sin.f64 phi2)))
(fma.f64 (.f64 (pow.f64 (sin.f64 phi2) 2) 0) (.f64 phi1 phi1) (*.f64 phi1 (sin.f64 phi2)))
(fma.f64 phi1 (sin.f64 phi2) (.f64 phi1 (.f64 phi1 0)))
(fma.f64 phi1 (sin.f64 phi2) 0)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 2)) (.f64 1/2 (pow.f64 (sin.f64 phi2) 2))) (pow.f64 phi1 2)) (+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1 (sin.f64 phi2)) (.f64 2 (pow.f64 (sin.f64 phi2) 3)))) (.f64 1/6 (pow.f64 (sin.f64 phi2) 3))))) (.f64 phi1 (sin.f64 phi2))))
(fma.f64 (.f64 (pow.f64 (sin.f64 phi2) 2) 0) (.f64 phi1 phi1) (fma.f64 (pow.f64 phi1 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi2) 3) (.f64 1/6 (+.f64 (fma.f64 -1 (sin.f64 phi2) (.f64 2 (pow.f64 (sin.f64 phi2) 3))) (pow.f64 (sin.f64 phi2) 3)))) (*.f64 phi1 (sin.f64 phi2))))
(fma.f64 (.f64 phi1 phi1) 0 (fma.f64 phi1 (sin.f64 phi2) (.f64 (pow.f64 phi1 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi2) 3) (.f64 1/6 (+.f64 (pow.f64 (sin.f64 phi2) 3) (-.f64 (.f64 2 (pow.f64 (sin.f64 phi2) 3)) (sin.f64 phi2))))))))
(+.f64 (fma.f64 phi1 (sin.f64 phi2) 0) (.f64 (pow.f64 phi1 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi2) 3) (+.f64 (.f64 (sin.f64 phi2) -1/6) (*.f64 (pow.f64 (sin.f64 phi2) 3) 1/2)))))
(+.f64 (.f64 (pow.f64 phi1 4) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 phi2) 4)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -1 (sin.f64 phi2)) (.f64 2 (pow.f64 (sin.f64 phi2) 3))) (sin.f64 phi2))) (+.f64 (.f64 1/24 (pow.f64 (sin.f64 phi2) 4)) (+.f64 (.f64 1/24 (+.f64 (.f64 -6 (pow.f64 (sin.f64 phi2) 4)) (.f64 4 (pow.f64 (sin.f64 phi2) 2)))) (.f64 1/8 (pow.f64 (sin.f64 phi2) 4))))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 2)) (.f64 1/2 (pow.f64 (sin.f64 phi2) 2))) (pow.f64 phi1 2)) (+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi2) 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1 (sin.f64 phi2)) (.f64 2 (pow.f64 (sin.f64 phi2) 3)))) (.f64 1/6 (pow.f64 (sin.f64 phi2) 3))))) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 -1/4 (pow.f64 (sin.f64 phi2) 4) (fma.f64 1/6 (.f64 (sin.f64 phi2) (fma.f64 -1 (sin.f64 phi2) (.f64 2 (pow.f64 (sin.f64 phi2) 3)))) (fma.f64 1/24 (pow.f64 (sin.f64 phi2) 4) (fma.f64 1/24 (fma.f64 -6 (pow.f64 (sin.f64 phi2) 4) (.f64 (pow.f64 (sin.f64 phi2) 2) 4)) (.f64 (pow.f64 (sin.f64 phi2) 4) 1/8))))) (fma.f64 (.f64 (pow.f64 (sin.f64 phi2) 2) 0) (.f64 phi1 phi1) (fma.f64 (pow.f64 phi1 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi2) 3) (.f64 1/6 (+.f64 (fma.f64 -1 (sin.f64 phi2) (.f64 2 (pow.f64 (sin.f64 phi2) 3))) (pow.f64 (sin.f64 phi2) 3)))) (*.f64 phi1 (sin.f64 phi2)))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 -1/4 (pow.f64 (sin.f64 phi2) 4) (fma.f64 1/6 (.f64 (sin.f64 phi2) (-.f64 (.f64 2 (pow.f64 (sin.f64 phi2) 3)) (sin.f64 phi2))) (fma.f64 (pow.f64 (sin.f64 phi2) 4) 1/24 (fma.f64 (pow.f64 (sin.f64 phi2) 4) 1/8 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 phi2) 4)) (.f64 (pow.f64 (sin.f64 phi2) 2) 1/6)))))) (fma.f64 (.f64 phi1 phi1) 0 (fma.f64 phi1 (sin.f64 phi2) (.f64 (pow.f64 phi1 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi2) 3) (.f64 1/6 (+.f64 (pow.f64 (sin.f64 phi2) 3) (-.f64 (.f64 2 (pow.f64 (sin.f64 phi2) 3)) (sin.f64 phi2)))))))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 -1/4 (pow.f64 (sin.f64 phi2) 4) (fma.f64 1/6 (.f64 (sin.f64 phi2) (-.f64 (.f64 2 (pow.f64 (sin.f64 phi2) 3)) (sin.f64 phi2))) (fma.f64 (pow.f64 (sin.f64 phi2) 4) 1/24 (+.f64 (.f64 (pow.f64 (sin.f64 phi2) 2) 1/6) (.f64 (pow.f64 (sin.f64 phi2) 4) -1/8))))) (+.f64 (fma.f64 phi1 (sin.f64 phi2) 0) (.f64 (pow.f64 phi1 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi2) 3) (+.f64 (.f64 (sin.f64 phi2) -1/6) (*.f64 (pow.f64 (sin.f64 phi2) 3) 1/2))))))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) phi2)
(*.f64 phi2 (sin.f64 phi1))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (pow.f64 phi2 2)) (.f64 (sin.f64 phi1) phi2))
(fma.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 0) (.f64 phi2 phi2) (*.f64 phi2 (sin.f64 phi1)))
(fma.f64 phi2 (sin.f64 phi1) (.f64 phi2 (.f64 phi2 0)))
(fma.f64 phi2 (sin.f64 phi1) 0)
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (pow.f64 phi2 2)) (+.f64 (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 3)) (+.f64 (.f64 1/6 (pow.f64 (sin.f64 phi1) 3)) (.f64 1/6 (+.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 3)) (.f64 -1 (sin.f64 phi1))))))) (.f64 (sin.f64 phi1) phi2)))
(fma.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 0) (.f64 phi2 phi2) (fma.f64 (pow.f64 phi2 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi1) 3) (.f64 1/6 (+.f64 (pow.f64 (sin.f64 phi1) 3) (fma.f64 2 (pow.f64 (sin.f64 phi1) 3) (neg.f64 (sin.f64 phi1)))))) (.f64 phi2 (sin.f64 phi1))))
(fma.f64 (.f64 phi2 phi2) 0 (fma.f64 phi2 (sin.f64 phi1) (.f64 (pow.f64 phi2 3) (+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 3) 1/3) (.f64 (sin.f64 phi1) -1/6)) (*.f64 (pow.f64 (sin.f64 phi1) 3) -1/3)))))
(+.f64 (fma.f64 phi2 (sin.f64 phi1) 0) (.f64 (pow.f64 phi2 3) (+.f64 (.f64 (sin.f64 phi1) -1/6) (*.f64 (pow.f64 (sin.f64 phi1) 3) 0))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (pow.f64 phi2 2)) (+.f64 (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 3)) (+.f64 (.f64 1/6 (pow.f64 (sin.f64 phi1) 3)) (.f64 1/6 (+.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 3)) (.f64 -1 (sin.f64 phi1))))))) (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 phi1) 4)) (+.f64 (.f64 1/24 (+.f64 (.f64 4 (pow.f64 (sin.f64 phi1) 2)) (.f64 -6 (pow.f64 (sin.f64 phi1) 4)))) (+.f64 (.f64 1/24 (pow.f64 (sin.f64 phi1) 4)) (+.f64 (.f64 1/8 (pow.f64 (sin.f64 phi1) 4)) (.f64 1/6 (.f64 (sin.f64 phi1) (+.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 3)) (*.f64 -1 (sin.f64 phi1))))))))) (pow.f64 phi2 4)))))
(fma.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 0) (.f64 phi2 phi2) (fma.f64 (pow.f64 phi2 3) (fma.f64 -1/2 (pow.f64 (sin.f64 phi1) 3) (.f64 1/6 (+.f64 (pow.f64 (sin.f64 phi1) 3) (fma.f64 2 (pow.f64 (sin.f64 phi1) 3) (neg.f64 (sin.f64 phi1)))))) (fma.f64 (sin.f64 phi1) phi2 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 phi1) 4) (fma.f64 1/24 (fma.f64 4 (pow.f64 (sin.f64 phi1) 2) (.f64 -6 (pow.f64 (sin.f64 phi1) 4))) (fma.f64 1/24 (pow.f64 (sin.f64 phi1) 4) (fma.f64 1/8 (pow.f64 (sin.f64 phi1) 4) (.f64 (*.f64 1/6 (sin.f64 phi1)) (fma.f64 2 (pow.f64 (sin.f64 phi1) 3) (neg.f64 (sin.f64 phi1)))))))) (pow.f64 phi2 4)))))
(fma.f64 (.f64 phi2 phi2) 0 (fma.f64 (pow.f64 phi2 3) (+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 3) 1/3) (.f64 (sin.f64 phi1) -1/6)) (.f64 (pow.f64 (sin.f64 phi1) 3) -1/3)) (fma.f64 phi2 (sin.f64 phi1) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 phi1) 4) (fma.f64 1/24 (fma.f64 4 (pow.f64 (sin.f64 phi1) 2) (.f64 -6 (pow.f64 (sin.f64 phi1) 4))) (+.f64 (.f64 (fma.f64 2 (pow.f64 (sin.f64 phi1) 3) (neg.f64 (sin.f64 phi1))) (.f64 1/6 (sin.f64 phi1))) (*.f64 (pow.f64 (sin.f64 phi1) 4) 1/6)))) (pow.f64 phi2 4)))))
(+.f64 (fma.f64 (pow.f64 phi2 3) (+.f64 (.f64 (sin.f64 phi1) -1/6) (.f64 (pow.f64 (sin.f64 phi1) 3) 0)) (fma.f64 phi2 (sin.f64 phi1) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 phi1) 4) (fma.f64 1/24 (fma.f64 4 (pow.f64 (sin.f64 phi1) 2) (.f64 -6 (pow.f64 (sin.f64 phi1) 4))) (.f64 1/6 (+.f64 (-.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 4)) (pow.f64 (sin.f64 phi1) 2)) (pow.f64 (sin.f64 phi1) 4))))) (pow.f64 phi2 4)))) 0)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
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(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 1)))
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(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3)
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3)
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 (acos.f64 (+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) -1)) R)
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1)))))

eval334.0ms (0.5%)

Compiler: Compiled 27358 to 8244 computations (69.9% saved)

prune469.0ms (0.7%)

Pruning

129 alts after pruning (123 fresh and 6 done)

	Pruned	Kept	Total
New	882	47	929
Fresh	32	76	108
Picked	1	0	1
Done	2	6	8
Total	917	129	1046

Error

1.4b

Counts

1046 → 129

Alt Table

Click to see full alt table

Status	Error	Program
	55.6b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)
	57.7b	(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
	46.6b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)) 2)
	49.5b	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
	16.5b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)
	34.8b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
	34.4b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
	48.4b	(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
	44.6b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))))) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
	60.0b	(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
	44.6b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))
	44.6b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))))) R) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
	34.6b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
	48.3b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))) (asin.f64 (cos.f64 (-.f64 phi2 phi1))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))))
	60.4b	(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
	16.0b	(/.f64 R (/.f64 (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
	59.1b	(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
	30.6b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R))
	34.5b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
	34.1b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
	44.6b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
	48.3b	(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
	60.5b	(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
	34.6b	(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
	3.6b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) 2) R)
	34.7b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) 2) R)
	28.7b	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))) 2) R)
	30.9b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3) R)
	34.8b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
	34.3b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
	48.3b	(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
	59.8b	(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
	30.6b	(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
	59.1b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
	59.1b	(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
	30.6b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	34.6b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	34.1b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	48.3b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
	44.6b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
	59.1b	(*.f64 (-.f64 lambda2 lambda1) R)
	59.8b	(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
	34.3b	(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
	60.1b	(*.f64 (neg.f64 lambda1) R)
	34.1b	(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	34.1b	(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
	15.9b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	42.0b	(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
	51.7b	(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
	30.7b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
	34.6b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
	34.1b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	48.3b	(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
	59.2b	(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
	34.6b	(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
	34.6b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
	43.7b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	28.5b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	44.3b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
	43.7b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	41.2b	(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
	34.8b	(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
	48.3b	(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
	44.7b	(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
	48.3b	(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
	43.7b	(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	33.8b	(.f64 (acos.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	30.6b	(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	15.9b	(.f64 (acos.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	55.7b	(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
	45.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	30.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	3.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	36.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
✓	15.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	57.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
	28.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	42.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	56.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
	41.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
	38.6b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
✓	3.3b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	24.5b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))) R)
	48.2b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
✓	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	53.4b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
	33.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	40.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
	56.9b	(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
	55.7b	(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
	55.8b	(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
	34.7b	(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
	28.0b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
	27.7b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
	42.0b	(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
	40.2b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
	39.8b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
	39.9b	(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
✓	34.0b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
	44.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
	42.8b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
	44.3b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
	42.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
	34.1b	(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
	48.3b	(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
	44.1b	(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	43.0b	(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	51.4b	(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
	49.4b	(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
	34.6b	(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
	48.3b	(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
✓	44.5b	(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
	53.8b	(*.f64 (acos.f64 (cos.f64 phi2)) R)
	53.7b	(*.f64 (acos.f64 (cos.f64 phi1)) R)
	52.5b	(*.f64 (acos.f64 (cos.f64 lambda2)) R)
	50.8b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
	34.7b	(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
	34.7b	(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
✓	60.1b	(*.f64 lambda2 R)
	61.2b	(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
	50.3b	(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
	50.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
	55.5b	(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
	57.1b	(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))

Compiler

Compiled 2746 to 1959 computations (28.7% saved)

regimes2.0s (3.1%)

Counts

222 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
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(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
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(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R)
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(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
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(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3) R)
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(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)) 2)
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(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))) R)
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(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 3) R)
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(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
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(.f64 (acos.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) 2) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R))
(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(/.f64 (.f64 R (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda2)))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) R)
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) 3)) (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))))) R))
(/.f64 R (/.f64 (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))

Outputs

(*.f64 (-.f64 lambda2 lambda1) R)

(*.f64 (acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

Calls

10 calls:

385.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
276.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
241.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
143.0ms	R
140.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
3.3b	1	`R`
3.3b	1	`lambda1`
3.3b	1	`lambda2`
3.3b	1	`phi1`
3.3b	1	`phi2`
1.8b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
1.8b	2	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
1.8b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
3.3b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
3.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4483 to 1336 computations (70.2% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00038981392702357593	0.0035397835180084364

Compiler

Compiled 32 to 24 computations (25% saved)

regimes4.0s (6%)

Counts

188 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))) R)
(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
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(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))) R)
(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (fabs.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)) R)
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(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3) R)
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))) 2) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)) 2)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)) 2)
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(.f64 (acos.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 3) R)
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) R)
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 2) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 R)) (sqrt.f64 R))
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3) 1/3)

Outputs
(.f64 (acos.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)

Calls

10 calls:

714.0ms	lambda2
488.0ms	phi2
474.0ms	(cos.f64 (-.f64 lambda1 lambda2))
380.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
336.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
14.7b	3	`R`
12.6b	3	`lambda1`
10.8b	6	`lambda2`
8.9b	3	`phi1`
8.5b	5	`phi2`
14.4b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.2b	4	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.3b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
13.3b	5	`(cos.f64 (-.f64 lambda1 lambda2))`
13.9b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3092 to 995 computations (67.8% saved)

bsearch520.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
72.0ms	4.391819442802826e+183	6.687084790317114e+183
153.0ms	6.992646587855498e+138	1.519035055661647e+144
127.0ms	1.733368828081671e-34	1.0811263819401381e-29
166.0ms	-3.554781509302244	-8.377587698763294e-30

Results

341.0ms	288×	body	1024	valid
92.0ms	141×	body	512	valid
40.0ms	65×	body	256	valid
36.0ms	18×	body	2048	valid

Compiler

Compiled 1747 to 1266 computations (27.5% saved)

regimes3.5s (5.3%)

Counts

165 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))) R)
(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))) R)
(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (fabs.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3) R)
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))) 2) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)) 2)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)) 2)
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))

Outputs
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)

Calls

10 calls:

612.0ms	lambda2
454.0ms	phi2
449.0ms	(cos.f64 (-.f64 lambda1 lambda2))
318.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
288.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
14.7b	3	`R`
12.6b	3	`lambda1`
10.8b	6	`lambda2`
9.0b	3	`phi1`
8.5b	5	`phi2`
14.4b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.2b	4	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.3b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
13.3b	5	`(cos.f64 (-.f64 lambda1 lambda2))`
13.9b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2610 to 905 computations (65.3% saved)

bsearch558.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
78.0ms	4.391819442802826e+183	6.687084790317114e+183
145.0ms	6.992646587855498e+138	1.519035055661647e+144
136.0ms	1.733368828081671e-34	1.0811263819401381e-29
198.0ms	-3.554781509302244	-8.377587698763294e-30

Results

373.0ms	307×	body	1024	valid
93.0ms	121×	body	512	valid
49.0ms	27×	body	2048	valid
33.0ms	57×	body	256	valid

Compiler

Compiled 1725 to 1244 computations (27.9% saved)

regimes3.2s (4.9%)

Counts

155 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))) R)
(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))) R)
(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (fabs.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 1)) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)

Outputs
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)

Calls

10 calls:

495.0ms	lambda2
448.0ms	phi2
391.0ms	(cos.f64 (-.f64 lambda1 lambda2))
345.0ms	(-.f64 lambda1 lambda2)
342.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Results

Error	Segments	Branch
15.9b	1	`R`
12.6b	3	`lambda1`
11.4b	6	`lambda2`
9.0b	3	`phi1`
8.5b	5	`phi2`
14.4b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.2b	4	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.3b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
13.6b	5	`(cos.f64 (-.f64 lambda1 lambda2))`
14.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2398 to 859 computations (64.2% saved)

bsearch532.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
73.0ms	4.391819442802826e+183	6.687084790317114e+183
158.0ms	6.992646587855498e+138	1.519035055661647e+144
125.0ms	1.733368828081671e-34	1.0811263819401381e-29
173.0ms	-3.554781509302244	-8.377587698763294e-30

Results

342.0ms	292×	body	1024	valid
99.0ms	131×	body	512	valid
51.0ms	27×	body	2048	valid
29.0ms	62×	body	256	valid

Compiler

Compiled 1573 to 1149 computations (27% saved)

regimes2.8s (4.2%)

Counts

150 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))) R)
(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))) R)
(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 (.f64 (pow.f64 phi2 3) -1/6))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (fabs.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (fabs.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))) R)

Outputs
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

Calls

10 calls:

459.0ms	lambda2
404.0ms	phi2
315.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
313.0ms	(-.f64 lambda1 lambda2)
254.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Results

Error	Segments	Branch
15.9b	1	`R`
13.9b	2	`lambda1`
11.7b	6	`lambda2`
9.4b	3	`phi1`
8.5b	5	`phi2`
14.4b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.3b	4	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.3b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
14.7b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
14.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2281 to 829 computations (63.7% saved)

bsearch548.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
89.0ms	4.391819442802826e+183	6.687084790317114e+183
151.0ms	6.992646587855498e+138	1.519035055661647e+144
113.0ms	1.733368828081671e-34	1.0811263819401381e-29
194.0ms	-3.554781509302244	-8.377587698763294e-30

Results

361.0ms	284×	body	1024	valid
87.0ms	142×	body	512	valid
51.0ms	21×	body	2048	valid
24.0ms	65×	body	256	valid

Compiler

Compiled 1553 to 1129 computations (27.3% saved)

regimes2.4s (3.7%)

Counts

134 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))))) R)
(.f64 (acos.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2))) R)
(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) R)
(.f64 (acos.f64 (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
(.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1)) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 3))) R)
(.f64 (log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)

Outputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Calls

10 calls:

468.0ms	lambda2
400.0ms	phi2
257.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
248.0ms	phi1
215.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
15.9b	1	`R`
13.9b	2	`lambda1`
11.7b	6	`lambda2`
9.4b	3	`phi1`
8.5b	5	`phi2`
14.4b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.3b	4	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.3b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
14.7b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
14.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1942 to 735 computations (62.2% saved)

bsearch497.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
82.0ms	4.391819442802826e+183	6.687084790317114e+183
139.0ms	6.992646587855498e+138	1.519035055661647e+144
110.0ms	1.733368828081671e-34	1.0811263819401381e-29
165.0ms	-3.554781509302244	-8.377587698763294e-30

Results

331.0ms	277×	body	1024	valid
93.0ms	145×	body	512	valid
41.0ms	17×	body	2048	valid
22.0ms	73×	body	256	valid

Compiler

Compiled 1568 to 1144 computations (27% saved)

regimes2.0s (3%)

Counts

118 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)

Outputs
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)

Calls

7 calls:

593.0ms	R
295.0ms	lambda2
251.0ms	(-.f64 lambda1 lambda2)
221.0ms	(cos.f64 (-.f64 lambda1 lambda2))
189.0ms	lambda1

Results

Error	Segments	Branch
20.4b	8	`R`
14.2b	3	`lambda1`
12.7b	5	`lambda2`
14.2b	3	`phi1`
13.0b	3	`phi2`
17.0b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
17.4b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1569 to 594 computations (62.1% saved)

bsearch478.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
131.0ms	3.3356616735004547e+261	5.211026174903019e+263
105.0ms	1.116213656740297e+134	1.0830597068089267e+136
179.0ms	5.7014438836893476e-12	0.0003898139270166087
62.0ms	-87510741.92083086	-27236483.80086783

Results

353.0ms	298×	body	1024	valid
48.0ms	75×	body	512	valid
43.0ms	5×	body	2048	valid
25.0ms	70×	body	256	valid

Compiler

Compiled 1320 to 976 computations (26.1% saved)

regimes1.9s (3%)

Counts

115 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)

Outputs

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)

(*.f64 (acos.f64 (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)

(*.f64 (acos.f64 (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)

Calls

7 calls:

427.0ms	R
293.0ms	lambda1
285.0ms	(-.f64 lambda1 lambda2)
263.0ms	(cos.f64 (-.f64 lambda1 lambda2))
257.0ms	lambda2

Results

Error	Segments	Branch
20.7b	8	`R`
21.6b	5	`lambda1`
13.5b	4	`lambda2`
14.2b	3	`phi1`
13.0b	3	`phi2`
17.2b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
17.4b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1516 to 582 computations (61.6% saved)

bsearch312.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
143.0ms	99126.41441831023	39684157.57354236
168.0ms	-3.554781509302244	-8.377587698763294e-30

Results

198.0ms	161×	body	1024	valid
41.0ms	50×	body	512	valid
36.0ms	18×	body	2048	valid
28.0ms	75×	body	256	valid

Compiler

Compiled 906 to 670 computations (26% saved)

regimes1.8s (2.7%)

Counts

114 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)

Outputs

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)

(*.f64 (acos.f64 (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)

(*.f64 (acos.f64 (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)

Calls

7 calls:

394.0ms	lambda2
294.0ms	lambda1
290.0ms	R
231.0ms	(cos.f64 (-.f64 lambda1 lambda2))
222.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
23.7b	5	`R`
21.7b	5	`lambda1`
21.1b	7	`lambda2`
15.5b	2	`phi1`
13.8b	3	`phi2`
17.3b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
17.4b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1499 to 578 computations (61.4% saved)

bsearch309.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
126.0ms	99126.41441831023	39684157.57354236
181.0ms	-3.554781509302244	-8.377587698763294e-30

Results

199.0ms	162×	body	1024	valid
50.0ms	61×	body	512	valid
30.0ms	17×	body	2048	valid
24.0ms	64×	body	256	valid

Compiler

Compiled 862 to 637 computations (26.1% saved)

regimes1.5s (2.3%)

Counts

113 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)

Outputs

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)

(*.f64 (acos.f64 (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R)

(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))

Calls

7 calls:

389.0ms	lambda2
239.0ms	lambda1
207.0ms	(-.f64 lambda1 lambda2)
180.0ms	phi2
176.0ms	R

Results

Error	Segments	Branch
26.7b	3	`R`
22.9b	4	`lambda1`
22.3b	7	`lambda2`
20.9b	2	`phi1`
17.1b	3	`phi2`
20.2b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
19.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1482 to 575 computations (61.2% saved)

bsearch309.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
135.0ms	99126.41441831023	39684157.57354236
174.0ms	-3.554781509302244	-8.377587698763294e-30

Results

225.0ms	173×	body	1024	valid
35.0ms	57×	body	512	valid
22.0ms	12×	body	2048	valid
21.0ms	62×	body	256	valid

Compiler

Compiled 862 to 645 computations (25.2% saved)

regimes1.7s (2.6%)

Counts

112 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 3) R)

Outputs

(*.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))

Calls

7 calls:

385.0ms	lambda2
269.0ms	lambda1
256.0ms	R
220.0ms	(-.f64 lambda1 lambda2)
218.0ms	phi1

Results

Error	Segments	Branch
29.7b	5	`R`
26.9b	5	`lambda1`
28.2b	7	`lambda2`
23.9b	3	`phi1`
23.2b	3	`phi2`
24.7b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
23.9b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1465 to 569 computations (61.2% saved)

bsearch275.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
93.0ms	0.03217187650412724	0.18132276482649864
181.0ms	-3.554781509302244	-8.377587698763294e-30

Results

188.0ms	136×	body	1024	valid
41.0ms	67×	body	512	valid
22.0ms	61×	body	256	valid
17.0ms	8×	body	2048	valid

Compiler

Compiled 787 to 575 computations (26.9% saved)

regimes2.1s (3.2%)

Counts

108 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

Outputs

(*.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))

Calls

7 calls:

647.0ms	phi2
354.0ms	lambda2
262.0ms	lambda1
258.0ms	R
200.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
29.7b	5	`R`
26.9b	5	`lambda1`
28.2b	7	`lambda2`
23.9b	3	`phi1`
23.2b	3	`phi2`
24.7b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
23.9b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1407 to 550 computations (60.9% saved)

bsearch258.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	0.03217187650412724	0.18132276482649864
175.0ms	-3.554781509302244	-8.377587698763294e-30

Results

170.0ms	142×	body	1024	valid
39.0ms	65×	body	512	valid
24.0ms	54×	body	256	valid
20.0ms	11×	body	2048	valid

Compiler

Compiled 787 to 575 computations (26.9% saved)

regimes1.6s (2.5%)

Counts

107 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1)))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))) 2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) R)

Outputs

(*.f64 (acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))

Calls

7 calls:

347.0ms	lambda2
276.0ms	lambda1
261.0ms	R
205.0ms	phi1
200.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
29.7b	5	`R`
26.9b	5	`lambda1`
28.2b	7	`lambda2`
23.9b	3	`phi1`
23.2b	3	`phi2`
24.7b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
23.9b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1394 to 547 computations (60.8% saved)

bsearch271.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
90.0ms	0.03217187650412724	0.18132276482649864
180.0ms	-3.554781509302244	-8.377587698763294e-30

Results

183.0ms	149×	body	1024	valid
29.0ms	48×	body	512	valid
27.0ms	15×	body	2048	valid
22.0ms	60×	body	256	valid

Compiler

Compiled 798 to 586 computations (26.6% saved)

regimes1.5s (2.3%)

Counts

100 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3) R)
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) 1/3) R)
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Outputs

(*.f64 (acos.f64 (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)

(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))

Calls

7 calls:

339.0ms	lambda2
261.0ms	(-.f64 lambda1 lambda2)
234.0ms	R
184.0ms	lambda1
177.0ms	phi1

Results

Error	Segments	Branch
30.3b	5	`R`
28.0b	4	`lambda1`
28.0b	7	`lambda2`
23.9b	3	`phi1`
23.2b	3	`phi2`
24.8b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
23.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1258 to 500 computations (60.3% saved)

bsearch286.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
106.0ms	0.03217187650412724	0.18132276482649864
179.0ms	-3.554781509302244	-8.377587698763294e-30

Results

175.0ms	127×	body	1024	valid
53.0ms	68×	body	512	valid
32.0ms	16×	body	2048	valid
21.0ms	61×	body	256	valid

Compiler

Compiled 747 to 552 computations (26.1% saved)

regimes1.1s (1.7%)

Counts

94 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1))))) R)
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)))
(.f64 (acos.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (acos.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (exp.f64 (log.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (expm1.f64 (log1p.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) R)
(.f64 (log.f64 (exp.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3))
(.f64 (acos.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3))) R)
(.f64 (acos.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi2))) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (acos.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)) R)
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3) R)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 3) R)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)) 3)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 3)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)) 2)
(.f64 (acos.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)

Outputs

(*.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)

(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))

Calls

7 calls:

375.0ms	(-.f64 lambda1 lambda2)
193.0ms	lambda2
166.0ms	phi1
136.0ms	(cos.f64 (-.f64 lambda1 lambda2))
110.0ms	phi2

Results

Error	Segments	Branch
34.0b	1	`R`
34.0b	1	`lambda1`
31.4b	4	`lambda2`
24.9b	2	`phi1`
24.9b	2	`phi2`
29.1b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
28.2b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1170 to 471 computations (59.7% saved)

bsearch139.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
138.0ms	99126.41441831023	39684157.57354236

Results

88.0ms	79×	body	1024	valid
27.0ms	20×	body	512	valid
12.0ms	6×	body	2048	valid
9.0ms	23×	body	256	valid

Compiler

Compiled 344 to 264 computations (23.3% saved)

regimes760.0ms (1.2%)

Counts

69 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1))))) R)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))

Outputs
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)

Calls

7 calls:

215.0ms	lambda2
200.0ms	(-.f64 lambda1 lambda2)
101.0ms	(cos.f64 (-.f64 lambda1 lambda2))
76.0ms	phi1
66.0ms	phi2

Results

Error	Segments	Branch
34.0b	1	`R`
34.0b	1	`lambda1`
30.4b	7	`lambda2`
24.9b	2	`phi1`
24.9b	2	`phi2`
29.1b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
28.2b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 841 to 365 computations (56.6% saved)

bsearch147.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
146.0ms	99126.41441831023	39684157.57354236

Results

87.0ms	66×	body	1024	valid
30.0ms	28×	body	512	valid
19.0ms	8×	body	2048	valid
8.0ms	26×	body	256	valid

Compiler

Compiled 320 to 248 computations (22.5% saved)

regimes728.0ms (1.1%)

Counts

64 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))) R)
(.f64 (fabs.f64 (remainder.f64 (-.f64 lambda2 lambda1) (.f64 2 (PI.f64)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (*.f64 R (neg.f64 (asin.f64 (cos.f64 (-.f64 phi2 phi1))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (*.f64 (neg.f64 (asin.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R))
(*.f64 (acos.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) R)
(*.f64 (acos.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 (-.f64 lambda2 phi1))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi1))))))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 (-.f64 (-.f64 lambda1 (-.f64 lambda2 phi1)) (+.f64 lambda2 phi1))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (-.f64 lambda1 (-.f64 (-.f64 lambda2 (-.f64 phi1 lambda1)) phi1))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi1 (-.f64 lambda1 (+.f64 lambda2 phi1)))) 2)) (cos.f64 (/.f64 (+.f64 lambda2 (+.f64 phi1 (-.f64 lambda1 (-.f64 lambda2 (-.f64 phi1 lambda1))))) 2)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (/.f64 (+.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (-.f64 lambda1 (+.f64 lambda2 phi2)))) 2)) (cos.f64 (/.f64 (+.f64 phi2 (+.f64 lambda2 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 lambda1)))) 2)))) R)
(exp.f64 (log.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)))
(*.f64 (acos.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(*.f64 (expm1.f64 (log1p.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))))) R)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) 3))
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)) R)
(*.f64 (acos.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi2 phi1))) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)) 3)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (fabs.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) phi2))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)

Outputs
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)

Calls

7 calls:

216.0ms	lambda2
191.0ms	(-.f64 lambda1 lambda2)
93.0ms	(cos.f64 (-.f64 lambda1 lambda2))
67.0ms	phi2
63.0ms	phi1

Results

Error	Segments	Branch
34.0b	1	`R`
34.0b	1	`lambda1`
30.4b	7	`lambda2`
24.9b	2	`phi1`
24.9b	2	`phi2`
29.1b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
28.2b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 763 to 338 computations (55.7% saved)

bsearch131.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
130.0ms	99126.41441831023	39684157.57354236

Results

74.0ms	63×	body	1024	valid
26.0ms	6×	body	2048	valid
19.0ms	30×	body	512	valid
9.0ms	29×	body	256	valid

Compiler

Compiled 288 to 216 computations (25% saved)

regimes402.0ms (0.6%)

Counts

36 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)

Outputs
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)

Calls

7 calls:

92.0ms	lambda2
71.0ms	phi1
69.0ms	(cos.f64 (-.f64 lambda1 lambda2))
53.0ms	(-.f64 lambda1 lambda2)
52.0ms	R

Results

Error	Segments	Branch
33.0b	3	`R`
34.0b	1	`lambda1`
31.4b	5	`lambda2`
28.3b	4	`phi1`
27.6b	2	`phi2`
29.8b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
30.8b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 376 to 178 computations (52.7% saved)

bsearch133.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
133.0ms	39684157.57354236	51883042945.44139

Results

78.0ms	65×	body	1024	valid
33.0ms	33×	body	512	valid
12.0ms	6×	body	2048	valid
7.0ms	24×	body	256	valid

Compiler

Compiled 272 to 208 computations (23.5% saved)

regimes420.0ms (0.6%)

Counts

35 → 5

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)

Outputs
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)

Calls

5 calls:

135.0ms	R
88.0ms	phi2
78.0ms	phi1
70.0ms	lambda2
39.0ms	lambda1

Results

Error	Segments	Branch
37.8b	7	`R`
33.9b	2	`lambda1`
32.3b	4	`lambda2`
31.0b	5	`phi1`
33.4b	4	`phi2`

Compiler

Compiled 349 to 161 computations (53.9% saved)

bsearch522.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
118.0ms	-2.782541764227351e-291	-1.3219920036769082e-294
129.0ms	-8.933969861598771e-217	-2.7056606485431767e-218
120.0ms	-8.83013386668727e-197	-7.269639138967136e-199
154.0ms	-5.174920389797883e-10	-4.058845508959186e-20

Results

285.0ms	260×	body	1024	valid
125.0ms	38×	body	2048	valid
72.0ms	110×	body	512	valid
32.0ms	104×	body	256	valid

Compiler

Compiled 896 to 696 computations (22.3% saved)

regimes367.0ms (0.6%)

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)

Outputs

(*.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)

(*.f64 (acos.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)

(*.f64 (acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)

Calls

5 calls:

95.0ms	R
81.0ms	lambda2
70.0ms	phi1
68.0ms	phi2
31.0ms	lambda1

Results

Error	Segments	Branch
39.4b	5	`R`
34.1b	2	`lambda1`
32.7b	4	`lambda2`
32.3b	3	`phi1`
33.6b	4	`phi2`

Compiler

Compiled 341 to 158 computations (53.7% saved)

bsearch291.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
140.0ms	-2.782541764227351e-291	-1.3219920036769082e-294
151.0ms	-5.174920389797883e-10	-4.058845508959186e-20

Results

196.0ms	162×	body	1024	valid
42.0ms	19×	body	2048	valid
32.0ms	56×	body	512	valid
15.0ms	51×	body	256	valid

Compiler

Compiled 662 to 510 computations (23% saved)

regimes237.0ms (0.4%)

Counts

33 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)

Outputs
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)

Calls

5 calls:

64.0ms	phi2
51.0ms	phi1
51.0ms	R
33.0ms	lambda2
30.0ms	lambda1

Results

Error	Segments	Branch
40.8b	3	`R`
34.1b	2	`lambda1`
34.2b	2	`lambda2`
35.2b	3	`phi1`
36.4b	4	`phi2`

Compiler

Compiled 333 to 155 computations (53.5% saved)

bsearch78.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
77.0ms	-4.300423991657618e-5	-8.224340543733064e-6

Results

54.0ms	46×	body	1024	valid
11.0ms	19×	body	512	valid
9.0ms	30×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 200 to 156 computations (22% saved)

regimes234.0ms (0.4%)

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)

Outputs
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)

Calls

5 calls:

66.0ms	phi1
54.0ms	phi2
49.0ms	lambda1
27.0ms	lambda2
16.0ms	R

Results

Error	Segments	Branch
42.0b	1	`R`
36.5b	3	`lambda1`
36.9b	2	`lambda2`
35.2b	3	`phi1`
36.7b	4	`phi2`

Compiler

Compiled 325 to 152 computations (53.2% saved)

bsearch346.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
185.0ms	-1.2433465974111371e-294	8.639538681241168e-303
161.0ms	-5.174920389797883e-10	-4.058845508959186e-20

Results

188.0ms	160×	body	1024	valid
79.0ms	24×	body	2048	valid
51.0ms	81×	body	512	valid
21.0ms	71×	body	256	valid

Compiler

Compiled 734 to 569 computations (22.5% saved)

regimes263.0ms (0.4%)

Counts

31 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (+.f64 (pow.f64 lambda2 3) (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda2) (.f64 lambda1 (-.f64 lambda1 lambda2)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (fabs.f64 (cos.f64 (-.f64 phi2 phi1)))) R)

Outputs
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)

Calls

5 calls:

63.0ms	lambda2
57.0ms	phi1
49.0ms	R
45.0ms	phi2
41.0ms	lambda1

Results

Error	Segments	Branch
42.9b	3	`R`
39.9b	3	`lambda1`
41.4b	4	`lambda2`
38.6b	3	`phi1`
39.2b	3	`phi2`

Compiler

Compiled 317 to 149 computations (53% saved)

bsearch346.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
183.0ms	-1.2433465974111371e-294	8.639538681241168e-303
162.0ms	-1141.3417751783732	-5.054590436643155e-9

Results

215.0ms	180×	body	1024	valid
62.0ms	23×	body	2048	valid
39.0ms	64×	body	512	valid
21.0ms	69×	body	256	valid

Compiler

Compiled 724 to 559 computations (22.8% saved)

regimes243.0ms (0.4%)

Counts

27 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (exp.f64 (log.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (log.f64 (exp.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 lambda2 lambda1) 3)) R)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 lambda2 lambda1)) 3) R)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 lambda2 lambda1) R)) 2)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1))) 1) R)
(*.f64 (pow.f64 (pow.f64 (-.f64 lambda2 lambda1) 3) 1/3) R)
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 3) 1/3)
(*.f64 (acos.f64 (/.f64 1 (/.f64 1 (cos.f64 (-.f64 phi2 phi1))))) R)

Outputs
(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)

Calls

5 calls:

63.0ms	lambda2
50.0ms	lambda1
46.0ms	phi2
40.0ms	phi1
37.0ms	R

Results

Error	Segments	Branch
42.9b	3	`R`
39.9b	3	`lambda1`
41.4b	4	`lambda2`
38.6b	3	`phi1`
39.2b	3	`phi2`

Compiler

Compiled 259 to 124 computations (52.1% saved)

bsearch361.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
195.0ms	-1.2433465974111371e-294	8.639538681241168e-303
166.0ms	-1141.3417751783732	-5.054590436643155e-9

Results

197.0ms	191×	body	1024	valid
86.0ms	24×	body	2048	valid
55.0ms	59×	body	512	valid
18.0ms	62×	body	256	valid

Compiler

Compiled 556 to 433 computations (22.1% saved)

regimes118.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)

Outputs
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)

Calls

5 calls:

38.0ms	lambda2
23.0ms	phi2
23.0ms	phi1
22.0ms	lambda1
8.0ms	R

Results

Error	Segments	Branch
44.5b	1	`R`
42.9b	3	`lambda1`
43.2b	3	`lambda2`
38.7b	3	`phi1`
39.4b	3	`phi2`

Compiler

Compiled 168 to 80 computations (52.4% saved)

bsearch284.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
147.0ms	-1.2433465974111371e-294	8.639538681241168e-303
137.0ms	-1141.3417751783732	-5.054590436643155e-9

Results

184.0ms	187×	body	1024	valid
47.0ms	76×	body	512	valid
29.0ms	14×	body	2048	valid
18.0ms	59×	body	256	valid

Compiler

Compiled 536 to 423 computations (21.1% saved)

regimes153.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)
(exp.f64 (log.f64 (*.f64 (-.f64 lambda2 lambda1) R)))

Outputs
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)

Calls

5 calls:

39.0ms	R
35.0ms	phi2
27.0ms	phi1
27.0ms	lambda2
21.0ms	lambda1

Results

Error	Segments	Branch
48.4b	5	`R`
43.5b	3	`lambda1`
43.2b	4	`lambda2`
43.2b	3	`phi1`
43.2b	5	`phi2`

Compiler

Compiled 161 to 77 computations (52.2% saved)

bsearch248.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
121.0ms	2.051018616549986e-300	1.8265826743924682e-295
127.0ms	-1141.3417751783732	-5.054590436643155e-9

Results

154.0ms	161×	body	1024	valid
36.0ms	18×	body	2048	valid
35.0ms	61×	body	512	valid
19.0ms	64×	body	256	valid

Compiler

Compiled 450 to 366 computations (18.7% saved)

regimes109.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)

Outputs
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)

Calls

5 calls:

31.0ms	R
25.0ms	phi2
21.0ms	lambda1
14.0ms	phi1
13.0ms	lambda2

Results

Error	Segments	Branch
48.6b	5	`R`
43.5b	3	`lambda1`
44.6b	2	`lambda2`
45.7b	2	`phi1`
48.0b	4	`phi2`

Compiler

Compiled 149 to 72 computations (51.7% saved)

bsearch80.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	4.8090688760386766e-231	2.6312631708449745e-230
0.0ms	-0.0009417275043630027	-0.0009198735372432391

Results

51.0ms	51×	body	1024	valid
14.0ms	24×	body	512	valid
8.0ms	3×	body	2048	valid
6.0ms	18×	body	256	valid

Compiler

Compiled 164 to 132 computations (19.5% saved)

regimes71.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)

Outputs
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)

Calls

5 calls:

19.0ms	R
18.0ms	phi2
12.0ms	lambda2
12.0ms	lambda1
6.0ms	phi1

Results

Error	Segments	Branch
49.7b	3	`R`
44.5b	2	`lambda1`
44.6b	2	`lambda2`
50.8b	1	`phi1`
49.5b	3	`phi2`

Compiler

Compiled 144 to 69 computations (52.1% saved)

bsearch67.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
67.0ms	-4.300423991657618e-5	-8.224340543733064e-6

Results

46.0ms	47×	body	1024	valid
10.0ms	17×	body	512	valid
9.0ms	32×	body	256	valid

Compiler

Compiled 164 to 132 computations (19.5% saved)

regimes41.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)

Outputs
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (-.f64 lambda2 lambda1) R)

Calls

5 calls:

11.0ms	lambda1
7.0ms	R
7.0ms	lambda2
6.0ms	phi1
6.0ms	phi2

Results

Error	Segments	Branch
50.8b	1	`R`
49.4b	2	`lambda1`
50.8b	1	`lambda2`
50.8b	1	`phi1`
50.8b	1	`phi2`

Compiler

Compiled 139 to 66 computations (52.5% saved)

bsearch62.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
62.0ms	-0.10198051746809797	-0.027880058087521604

Results

38.0ms	40×	body	1024	valid
10.0ms	16×	body	512	valid
7.0ms	21×	body	256	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 142 to 109 computations (23.2% saved)

regimes32.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)
(*.f64 (-.f64 lambda2 lambda1) R)
(/.f64 R (/.f64 1 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 lambda2 lambda1))) R)
(.f64 (/.f64 (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 lambda2 lambda1)) R)
(/.f64 (.f64 R (-.f64 (.f64 lambda2 lambda2) (*.f64 lambda1 lambda1))) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1)) (/.f64 (+.f64 lambda2 lambda1) R))
(.f64 (.f64 (/.f64 1 (+.f64 lambda2 lambda1)) (-.f64 (.f64 lambda2 lambda2) (.f64 lambda1 lambda1))) R)
(*.f64 (-.f64 (/.f64 lambda2 (/.f64 (+.f64 lambda2 lambda1) lambda2)) (/.f64 lambda1 (/.f64 (+.f64 lambda2 lambda1) lambda1))) R)

Outputs
(*.f64 (-.f64 lambda2 lambda1) R)

Calls

5 calls:

7.0ms	phi2
6.0ms	lambda1
6.0ms	phi1
5.0ms	R
5.0ms	lambda2

Results

Error	Segments	Branch
59.1b	1	`R`
59.1b	1	`lambda1`
59.1b	1	`lambda2`
59.1b	1	`phi1`
59.1b	1	`phi2`

Compiler

Compiled 134 to 63 computations (53% saved)

regimes19.0ms (0%)

Accuracy

Total -2.9b remaining (-4.9%)

Threshold costs -2.9b (-4.9%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (neg.f64 lambda1) R)

Outputs
(*.f64 (neg.f64 lambda1) R)
(*.f64 lambda2 R)

Calls

5 calls:

5.0ms	lambda1
4.0ms	lambda2
3.0ms	phi2
3.0ms	R
3.0ms	phi1

Results

Error	Segments	Branch
60.1b	1	`R`
59.0b	2	`lambda1`
60.1b	1	`lambda2`
60.1b	1	`phi1`
60.1b	1	`phi2`

Compiler

Compiled 42 to 33 computations (21.4% saved)

bsearch105.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
105.0ms	-1.04519177991469e-62	-1.714825396562912e-65

Results

62.0ms	63×	body	1024	valid
22.0ms	39×	body	512	valid
11.0ms	6×	body	2048	valid
8.0ms	20×	body	256	valid

Compiler

Compiled 184 to 144 computations (21.7% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

136×	`*-commutative`
50×	`+-commutative`
18×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	294	4584
1	391	4560
2	413	4560
3	427	4560
4	433	4560
5	434	4560

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1152921504606847/2305843009213693952) (.f64 (-.f64 lambda2 lambda1) R) (.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))
(if (<=.f64 phi2 -1080863910568919/72057594037927936) (.f64 (acos.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R) (if (<=.f64 phi2 1499999999999999948972220596701193674287543637271657548821538877511088170235543964645350573398324221194818762946398358570214777210973502704713728) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4500000000000000172454068496899612926890903202579609798488829964459348032869466012356462874947201578882582063698446802437762046067782854160775950604375840043019787447527620572088369152) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)))))
(if (<=.f64 phi2 -1080863910568919/36028797018963968) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) phi2))) R) (if (<=.f64 phi2 1499999999999999948972220596701193674287543637271657548821538877511088170235543964645350573398324221194818762946398358570214777210973502704713728) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4500000000000000172454068496899612926890903202579609798488829964459348032869466012356462874947201578882582063698446802437762046067782854160775950604375840043019787447527620572088369152) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)))))
(if (<=.f64 phi2 -1558380939346983/9444732965739290427392) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (if (<=.f64 phi2 69000000000000003371353391572435556897706262109606385583442256328131742119949157391342573725425761694908875685322204320099252359599648021676032) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4500000000000000172454068496899612926890903202579609798488829964459348032869466012356462874947201578882582063698446802437762046067782854160775950604375840043019787447527620572088369152) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)))))
(if (<=.f64 phi2 -2780529385113647/604462909807314587353088) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (if (<=.f64 phi2 1499999999999999948972220596701193674287543637271657548821538877511088170235543964645350573398324221194818762946398358570214777210973502704713728) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4500000000000000172454068496899612926890903202579609798488829964459348032869466012356462874947201578882582063698446802437762046067782854160775950604375840043019787447527620572088369152) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))
(if (<=.f64 phi2 -8510837770086989/38685626227668133590597632) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (if (<=.f64 phi2 1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 5600000000000000361374712872535015340635802134976193507110813638633205322201136047151204559628972879292141436178130314090762908525168186835599474138076314430924845268194773964964233216) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)))))
(if (<=.f64 lambda2 -28000000) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (if (<=.f64 lambda2 4958484807013127/4722366482869645213696) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (if (<=.f64 lambda2 449999999999999974753830009795133595877408488815141210870101252963471704229234571614762450771438818948274301310808708753892655207809024) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (if (<=.f64 lambda2 290000000000000011682043297524205283945444757831775191079453853839282760432770217693074325921538922671232546040714261283895806931977148138252696549343691138455682559787225921686123191838784297195539270046771230388249704106322960655217915502685119322738786161393664) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)))))
(if (<=.f64 phi2 -4835703278458517/302231454903657293676544) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (if (<=.f64 phi2 100000) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)))
(if (<=.f64 phi2 -1080863910568919/72057594037927936) (.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi2 100000) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R)))
(if (<=.f64 phi2 -8070450532247929/4611686018427387904) (.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi2 100000) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))))
(if (<=.f64 phi2 -5404319552844595/4503599627370496) (.f64 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi2 3242591731706757/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))))
(if (<=.f64 phi2 -6980579422424269/4503599627370496) (.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 3242591731706757/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))))
(if (<=.f64 phi2 -5854679515581645/2251799813685248) (.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 3242591731706757/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))))
(if (<=.f64 phi2 -4726978168888073/576460752303423488) (.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 1188950301625811/36028797018963968) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))))
(if (<=.f64 phi2 100000) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) (+.f64 (.f64 (.f64 (PI.f64) 1/2) R) (.f64 (neg.f64 (asin.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)))
(if (<=.f64 phi2 100000) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(if (<=.f64 phi2 100000) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R))
(if (<=.f64 phi2 40000000) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R))
(if (<=.f64 phi1 -4932417344027687/9671406556917033397649408) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 -5049730465486439/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R) (if (<=.f64 phi1 -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R) (if (<=.f64 phi1 -10673802988245/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)))))
(if (<=.f64 phi1 -4932417344027687/9671406556917033397649408) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 -8539042390596001/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) (.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)))
(if (<=.f64 lambda1 -5076543969084869/590295810358705651712) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R))
(if (<=.f64 phi1 -4932417344027687/9671406556917033397649408) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 8801977873624195/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -7746191359077253/18014398509481984) (.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) (if (<=.f64 phi1 6331247242431439/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R) (.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -1152921504606847/144115188075855872) (.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) (if (<=.f64 phi1 8801977873624195/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -7638104968020361/288230376151711744) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 phi1 752800739191543/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -7177997053961861/4722366482869645213696) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 phi1 4524042903795331/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (.f64 (acos.f64 (cos.f64 lambda1)) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 lambda1 -4242751136953197/4611686018427387904) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 (acos.f64 (cos.f64 phi1)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R)))
(if (<=.f64 lambda1 -5312662293228351/590295810358705651712) (.f64 (acos.f64 (cos.f64 lambda1)) R) (.f64 (acos.f64 (cos.f64 lambda2)) R))
(if (<=.f64 lambda1 -7926335344172073/144115188075855872) (.f64 (acos.f64 (cos.f64 lambda1)) R) (.f64 (-.f64 lambda2 lambda1) R))
(*.f64 (-.f64 lambda2 lambda1) R)
(if (<=.f64 lambda1 -407588154115353/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 (neg.f64 lambda1) R) (.f64 lambda2 R))
(*.f64 lambda2 R)

Outputs
(if (<=.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1152921504606847/2305843009213693952) (.f64 (-.f64 lambda2 lambda1) R) (.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))
(if (<=.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1152921504606847/2305843009213693952) (.f64 (-.f64 lambda2 lambda1) R) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))
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(if (<=.f64 phi2 -2780529385113647/604462909807314587353088) (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 R (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (if (<=.f64 phi2 1499999999999999948972220596701193674287543637271657548821538877511088170235543964645350573398324221194818762946398358570214777210973502704713728) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4500000000000000172454068496899612926890903202579609798488829964459348032869466012356462874947201578882582063698446802437762046067782854160775950604375840043019787447527620572088369152) (.f64 R (acos.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))))
(if (<=.f64 phi2 -8510837770086989/38685626227668133590597632) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1))) R) (if (<=.f64 phi2 1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 5600000000000000361374712872535015340635802134976193507110813638633205322201136047151204559628972879292141436178130314090762908525168186835599474138076314430924845268194773964964233216) (.f64 (acos.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)))))
(if (<=.f64 phi2 -8510837770086989/38685626227668133590597632) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 7493050386706289/713623846352979940529142984724747568191373312) (.f64 R (acos.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (if (or (<=.f64 phi2 1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (not (<=.f64 phi2 5600000000000000361374712872535015340635802134976193507110813638633205322201136047151204559628972879292141436178130314090762908525168186835599474138076314430924845268194773964964233216))) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (.f64 R (acos.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))
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(if (<=.f64 phi1 -7746191359077253/18014398509481984) (.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) (if (<=.f64 phi1 6331247242431439/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (acos.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1)))) R) (.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -7746191359077253/18014398509481984) (.f64 R (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (if (<=.f64 phi1 6331247242431439/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 R (acos.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1)))))) (.f64 R (acos.f64 (cos.f64 phi2)))))
(if (<=.f64 phi1 -1152921504606847/144115188075855872) (.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) (if (<=.f64 phi1 8801977873624195/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -1152921504606847/144115188075855872) (.f64 R (acos.f64 (cos.f64 (-.f64 phi2 phi1)))) (if (<=.f64 phi1 8801977873624195/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 R (acos.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 R (acos.f64 (cos.f64 phi2)))))
(if (<=.f64 phi1 -7638104968020361/288230376151711744) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 phi1 752800739191543/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (.f64 (acos.f64 (cos.f64 (-.f64 lambda2 lambda1))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -7638104968020361/288230376151711744) (.f64 R (acos.f64 (cos.f64 phi1))) (if (<=.f64 phi1 752800739191543/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (.f64 R (acos.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 R (acos.f64 (cos.f64 phi2)))))
(if (<=.f64 phi1 -7177997053961861/4722366482869645213696) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 phi1 4524042903795331/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (.f64 (acos.f64 (cos.f64 lambda1)) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi1 -7177997053961861/4722366482869645213696) (.f64 R (acos.f64 (cos.f64 phi1))) (if (<=.f64 phi1 4524042903795331/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (.f64 R (acos.f64 (cos.f64 lambda1))) (*.f64 R (acos.f64 (cos.f64 phi2)))))
(if (<=.f64 lambda1 -4242751136953197/4611686018427387904) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 (acos.f64 (cos.f64 phi1)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R)))
(if (<=.f64 lambda1 -4242751136953197/4611686018427387904) (.f64 R (acos.f64 (cos.f64 lambda1))) (if (<=.f64 lambda1 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 R (acos.f64 (cos.f64 phi1))) (*.f64 R (acos.f64 (cos.f64 lambda2)))))
(if (<=.f64 lambda1 -5312662293228351/590295810358705651712) (.f64 (acos.f64 (cos.f64 lambda1)) R) (.f64 (acos.f64 (cos.f64 lambda2)) R))
(if (<=.f64 lambda1 -5312662293228351/590295810358705651712) (.f64 R (acos.f64 (cos.f64 lambda1))) (.f64 R (acos.f64 (cos.f64 lambda2))))
(if (<=.f64 lambda1 -7926335344172073/144115188075855872) (.f64 (acos.f64 (cos.f64 lambda1)) R) (.f64 (-.f64 lambda2 lambda1) R))
(if (<=.f64 lambda1 -7926335344172073/144115188075855872) (.f64 R (acos.f64 (cos.f64 lambda1))) (.f64 (-.f64 lambda2 lambda1) R))
(*.f64 (-.f64 lambda2 lambda1) R)
(if (<=.f64 lambda1 -407588154115353/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 (neg.f64 lambda1) R) (.f64 lambda2 R))
(if (<=.f64 lambda1 -407588154115353/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 R (neg.f64 lambda1)) (.f64 lambda2 R))
(if (<=.f64 lambda1 -407588154115353/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 lambda1 (neg.f64 R)) (.f64 lambda2 R))
(*.f64 lambda2 R)

Compiler

Compiled 1674 to 939 computations (43.9% saved)

soundness178.0ms (0.3%)

Algorithm

3×	egg-herbie

Rules

1618×	`associate-+l-`
1448×	`unswap-sqr`
1370×	`associate-+r-`
1062×	`distribute-lft-in`
1034×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	57
1	31	57
2	46	57
3	57	57
4	66	57
5	84	57
6	136	57
7	181	57
8	225	57
9	273	57
10	297	57
11	299	57
0	351	7450
1	934	7172
2	3215	7070
0	489	8622
1	1369	8006
2	6347	8006

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 192 to 102 computations (46.9% saved)

end437.0ms (0.7%)

Compiler: Compiled 1743 to 510 computations (70.7% saved)

Iter	Nodes	Cost
0	20	57
1	31	57
2	46	57
3	57	57
4	66	57
5	84	57
6	136	57
7	181	57
8	225	57
9	273	57
10	297	57
11	299	57

Iter	Nodes	Cost
0	20	57
1	31	57
2	46	57
3	57	57
4	66	57
5	84	57
6	136	57
7	181	57
8	225	57
9	273	57
10	297	57
11	299	57

Iter	Nodes	Cost
0	20	57
1	31	57
2	46	57
3	57	57
4	66	57
5	84	57
6	136	57
7	181	57
8	225	57
9	273	57
10	297	57
11	299	57