Details

analyze1.1s (2.6%)

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)

sample8.5s (21%)

Results

6.5s	5669×	body	1024	valid
1.0s	1479×	body	512	valid
667.0ms	261×	body	2048	valid
295.0ms	847×	body	256	valid
3.0ms	3×	body	1024	infinite
1.0ms	1×	body	512	infinite

Bogosity

preprocess160.0ms (0.4%)

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)

simplify26.0ms (0.1%)

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

23.14%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.16%	(.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)
▶	23.16%	(.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

▶

23.16%

(*.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)

▶

23.16%

(*.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)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.32%	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.4%	(.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)
✓	1.05%	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 97 to 17 computations (82.5% saved)

series12.0ms (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))
0.0ms	phi2	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

rewrite108.0ms (0.3%)

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))))))))

simplify140.0ms (0.3%)

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))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.4%	(.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)
✓	1.05%	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series20.0ms (0%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	phi2	@	0	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	phi2	@	inf	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	lambda1	@	inf	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda2	@	inf	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda2	@	-inf	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))

rewrite106.0ms (0.3%)

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	129
1	420	129
2	5497	129

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Inputs

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

(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))

Outputs
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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 phi1) (.f64 (cos.f64 phi2) (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 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 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 phi1) (.f64 (cos.f64 phi2) (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 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 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 (-.f64 phi2 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Outputs

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

simplify144.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1448×	`unswap-sqr`
1032×	`distribute-lft-in`
1006×	`distribute-rgt-in`
460×	`associate-/l*`
428×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	13337
1	821	13245
2	2809	13149

Stop Event

1×	node limit

Counts

229 → 185

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

eval124.0ms (0.3%)

Compiler: Compiled 14334 to 3598 computations (74.9% saved)

prune185.0ms (0.5%)

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	393	50	443
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	395	50	445

Error

5.44%

Counts

445 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	61.79%	(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)
▶	24.28%	(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)
	24.27%	(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)
	23.75%	(/.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))))))
	23.37%	(/.f64 R (/.f64 (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 (.f64 (PI.f64) (PI.f64)) 1/4) (.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)))))))))
	23.49%	(/.f64 R (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (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 (pow.f64 (PI.f64) 3) 1/8) (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))))
	23.5%	(.f64 (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) R)
	24.24%	(.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))))))) 3) R)
	23.44%	(.f64 (/.f64 R (fma.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) (.f64 (PI.f64) (.f64 1/4 (PI.f64))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 3)))
	23.36%	(.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))))))))
	23.28%	(.f64 (-.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)))))) R)
	23.48%	(.f64 (-.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) R)
	23.17%	(.f64 (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)))))))) R)
	23.22%	(.f64 (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)))))))) R)
	23.37%	(.f64 (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)))))))) R)
	23.18%	(.f64 (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)))))))) R)
	23.51%	(.f64 (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)) R)
	48.58%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 (-.f64 phi2 lambda1))))))))) R)
▶	5.88%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	45.58%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	48.08%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))) R)
	56.39%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	23.14%	(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	23.26%	(.f64 (acos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	37.01%	(.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)
	23.21%	(.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)
	5.89%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
▶	54.94%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))))) R)
	23.52%	(.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)
	5.95%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.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)))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) R)
	23.28%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) R)
▶	52.23%	(.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)
	54.89%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.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)))))))) R)
	5.89%	(.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)
	52.78%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) R)
	5.89%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.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)
	23.22%	(.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)
	23.19%	(.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)
	46.2%	(.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)
	23.22%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	46.13%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	54.1%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	52.31%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	23.22%	(.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	31.21%	(.f64 (acos.f64 (+.f64 (fabs.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	64.57%	(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)))
	69.34%	(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))
	69.46%	(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)))

Compiler

Compiled 3190 to 2028 computations (36.4% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
✓	0.3%	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.41%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
✓	1.08%	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))

Compiler

Compiled 148 to 21 computations (85.8% saved)

series22.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite113.0ms (0.3%)

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	204
1	518	144
2	6839	144

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.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 phi1) (.f64 (cos.f64 phi2) (+.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 (.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 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (.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 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(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 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 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 phi1) (cos.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(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 phi1) (cos.f64 phi2)))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 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 (-.f64 lambda1 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simplify160.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-in`
1046×	`distribute-rgt-in`
680×	`associate-r`
648×	`associate-+r+`
608×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	14653
1	886	14421
2	3498	14285

Stop Event

1×	node limit

Counts

251 → 191

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.23%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	0.3%	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.79%	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series19.0ms (0%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	lambda1	@	-inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	phi1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	lambda2	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	phi2	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	lambda1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))

rewrite107.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`associate-*r/`
470×	`associate-+l+`
452×	`add-sqr-sqrt`
448×	`pow1`
448×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	131
1	413	131
2	5668	131

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify146.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1396×	`unswap-sqr`
1102×	`distribute-lft-in`
1072×	`distribute-rgt-in`
622×	`associate-r`
504×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	12336
1	889	12236
2	3213	12016

Stop Event

1×	node limit

Counts

228 → 175

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.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 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 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 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 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 2)))))
(+.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 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 4))))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 6)))) (+.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 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 4)))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(+.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)))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4)))) (+.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))))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 6)))) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 2)))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
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(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))
(pow.f64 (acos.f64 (fma.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 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 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 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 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 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 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 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 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 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 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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 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))) (cos.f64 (-.f64 lambda1 lambda2))) 2)
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 (-.f64 phi2 lambda1) lambda2)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (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 (.f64 (cos.f64 phi1) (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 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) -2)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1)))) 2)
(/.f64 (.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) 2)
(/.f64 (.f64 1 (.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) (cbrt.f64 2))
(pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(exp.f64 (log.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))
(pow.f64 (.f64 (acos.f64 (fma.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 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 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 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 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 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 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 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 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 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 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 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 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 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 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
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(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2)))
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(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 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 4))))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/24) (.f64 (cos.f64 phi2) (pow.f64 phi1 4)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (.f64 phi1 phi1) -1/2) (*.f64 (pow.f64 phi1 4) 1/24))))
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(fma.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 6))) (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 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 4)))))))
(fma.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 6))) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/24) (.f64 (cos.f64 phi2) (pow.f64 phi1 4)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2))) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (pow.f64 phi1 4) 1/24) (.f64 (pow.f64 phi1 6) -1/720))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
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(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 phi2 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 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4)))) (+.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 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 phi2 phi2)))))
(fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (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)) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 phi2 phi2) -1/2) (.f64 (pow.f64 phi2 4) 1/24))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 6)))) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 2)))))))
(fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (fma.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 6))) (.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 phi2 phi2))))))
(fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (fma.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 (.f64 phi2 (cos.f64 phi1)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 phi1) (pow.f64 phi2 6)) -1/720)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (pow.f64 phi2 6)) -1/720))) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 phi2 phi2) -1/2) (.f64 (pow.f64 phi2 4) 1/24))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(fma.f64 -1 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (.f64 lambda1 (cos.f64 phi1))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (cos.f64 lambda2) (neg.f64 (*.f64 lambda1 (sin.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 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))))
(fma.f64 -1 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (.f64 lambda1 (cos.f64 phi1))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 lambda1 lambda1)))))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2))))))) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (cos.f64 lambda2) (.f64 (.f64 (.f64 lambda1 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 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))))
(fma.f64 -1 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (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 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 lambda1 lambda1))))))
(-.f64 (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 lambda1 (.f64 lambda1 (cos.f64 lambda2))))) (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))))) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (.f64 lambda1 lambda1) (cos.f64 lambda2)))) (.f64 (.f64 -1/6 (sin.f64 lambda2)) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1))
(+.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 (sin.f64 lambda1) lambda2))))
(+.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 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1))))
(fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) lambda2))) (.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) (*.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 (pow.f64 lambda2 3) (.f64 (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 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)) (.f64 lambda2 lambda2)) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))))
(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 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(+.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.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 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
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(/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) (cbrt.f64 2))
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(.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (cbrt.f64 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (-.f64 phi1 phi2)))))
(pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 2)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 3)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(pow.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 3) 1/3)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))
(fabs.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 3))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(exp.f64 (log.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 R (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))) (-.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 phi1 (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))))))
(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))))
(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 phi1 (sin.f64 phi2)))))) R)
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))
(/.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 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 phi1 (sin.f64 phi2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) 3))))
(.f64 (/.f64 R (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 phi1 (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 1/4 (PI.f64))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) 3)) (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 phi1 (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 1/4 (PI.f64))))) R)
(pow.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 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 phi1 (sin.f64 phi2))))) 2))
(fabs.f64 (.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.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 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.26%	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
✓	0.27%	(.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)
	0.32%	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.1%	(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)))))

Compiler

Compiled 126 to 20 computations (84.1% saved)

series17.0ms (0%)

Counts

3 → 156

Calls

39 calls:

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

rewrite122.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`associate-+l+`
532×	`add-sqr-sqrt`
524×	`pow1`
524×	`*-un-lft-identity`
488×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	181
1	494	169
2	6824	169

Stop Event

1×	node limit

Counts

3 → 65

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 (sin.f64 (neg.f64 lambda2)) 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 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)

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

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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))))))) (#(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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))) (*.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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))))) (#(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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 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(#(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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))) 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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))) 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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))) 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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))) 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 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lambda1))))))))))) (#(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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))) 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) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))) 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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))) 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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.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 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))) R)))))))

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

simplify143.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1446×	`unswap-sqr`
1286×	`distribute-lft-in`
1272×	`distribute-rgt-in`
454×	`associate-r`
366×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	14855
1	701	12865
2	2685	12709

Stop Event

1×	node limit

Counts

221 → 149

Calls

Call 1

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

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

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))))) R)
✓	0.23%	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))
	0.32%	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.85%	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))))

Compiler

Compiled 175 to 67 computations (61.7% saved)

series24.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	0	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))))
2.0ms	phi1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))
1.0ms	lambda1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))
1.0ms	phi1	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))
1.0ms	lambda1	@	-inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))))

rewrite123.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`add-sqr-sqrt`
594×	`pow1`
594×	`*-un-lft-identity`
552×	`add-exp-log`
552×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	217
1	580	217
2	7440	217

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (fma.f64 (*.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (fma.f64 (*.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (fma.f64 (*.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 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(sin.f64 phi2))))))))))

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

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

simplify167.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1526×	`distribute-lft-in`
1514×	`distribute-rgt-in`
1402×	`unswap-sqr`
508×	`associate-r`
476×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	17793
1	684	16665
2	2685	16375

Stop Event

1×	node limit

Counts

213 → 145

Calls

Call 1

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

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))
(.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1))))
(.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (*.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))))
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(.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)))))
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(fma.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (fma.f64 -1/2 (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi1) (.f64 phi2 phi2))) (fma.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (pow.f64 phi2 4))) (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (pow.f64 phi2 6)))))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
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(.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi1))) (.f64 (cos.f64 lambda1) (cos.f64 phi1))))
(.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda2 (cos.f64 phi1)) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))))
(.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)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 -1/2 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))))
(.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1)) (*.f64 lambda2 lambda2))))
(.f64 -1/2 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
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(fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi1))) (.f64 -1/2 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))))))
(fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1)) (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi1)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 lambda2 (.f64 lambda2 -1/2)) (.f64 (cos.f64 lambda1) (cos.f64 phi1))) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi1)))))
(+.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)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 -1/2 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))))
(.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1)) (*.f64 lambda2 lambda2))))
(.f64 -1/2 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi1))) (.f64 -1/2 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))))))
(fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi1)) (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi1)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 lambda2 (.f64 lambda2 -1/2)) (.f64 (cos.f64 lambda1) (cos.f64 phi1))) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi1)))))
(+.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)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
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(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 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 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (fma.f64 (.f64 lambda2 -1/2) lambda2 1) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.85%	(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))
	1.05%	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
✓	1.13%	(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)
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 132 to 20 computations (84.8% saved)

series56.0ms (0.1%)

Counts

2 → 96

Calls

30 calls:

Time	Variable		Point	Expression
14.0ms	lambda1	@	inf	(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)
8.0ms	R	@	inf	(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)
8.0ms	phi1	@	0	(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)
2.0ms	lambda1	@	-inf	(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)
2.0ms	lambda2	@	inf	(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)

rewrite100.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	118
1	486	118
2	6009	118

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs

(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)

(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))

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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 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)))))) R)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.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)) (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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.f64 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)))))) 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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) (*.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) 1/6) (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)) 2)))))) (#(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))))))) (*.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))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) (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)))))) (#(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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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))) 2) (*.f64 (cbrt.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))) (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)) 2)))))) (#(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))))))) (*.f64 (cbrt.f64 R) (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)) 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) (*.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))))))) 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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2) (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)))))) (#(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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (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 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 (*.f64 R (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 (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 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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) 1/6) (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) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))) (pow.f64 (cbrt.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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))) (pow.f64 (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)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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))) 2) 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(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))))))))

simplify145.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-+r+`
1584×	`associate-+l+`
1102×	`unswap-sqr`
560×	`distribute-lft-neg-in`
506×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	9853
1	427	9789
2	1240	9665
3	4070	9665

Stop Event

1×	node limit

Counts

157 → 86

Calls

Call 1

Inputs
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
(.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 1 1/3))
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(.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)) (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)) 2))
(.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 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)))))) R))
(.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) 1/6) (.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) 1/6) (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)) 2)))
(.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))))))) (.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))))))) R))
(.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)) (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)))
(.f64 (sqrt.f64 R) (.f64 (sqrt.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 (pow.f64 (cbrt.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))) 2) (.f64 (cbrt.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))) (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)) 2)))
(.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))))))) (.f64 (cbrt.f64 R) (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)) 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) (.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))))))) R))
(.f64 (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)) 2) (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)))
(.f64 (pow.f64 (cbrt.f64 R) 2) (.f64 (cbrt.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 (.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 R)) (sqrt.f64 R))
(.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)))))) (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 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 (.f64 R (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 (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)) 2) 1) (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)))
(.f64 (.f64 (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)) 2) (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) 1/6)) (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) 1/6))
(.f64 (.f64 (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)) 2) (pow.f64 (cbrt.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))) 2)) (cbrt.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))))
(.f64 (.f64 (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)) 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)))))))) (cbrt.f64 R))
(.f64 (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) 1/6) 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) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.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))) 2) 3) (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)))
(/.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 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 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 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)))))))))
(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)))
(-.f64 (exp.f64 (log1p.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)))) 1)
(.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)) 1)
(.f64 1 (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)))
(.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) 1/6) (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) 1/6))
(.f64 (cbrt.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))) (pow.f64 (cbrt.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))) 2))
(.f64 (cbrt.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))) (pow.f64 (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)) 2) 1/3))
(.f64 (pow.f64 (cbrt.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))) 2) (cbrt.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))))
(.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))))))) (cbrt.f64 R))
(.f64 (cbrt.f64 R) (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 (pow.f64 (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)) 2) 1/3) (cbrt.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))))
(.f64 (pow.f64 1 1/3) (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)))
(.f64 (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)) 1/3) (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)) 1/3))
(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)) 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) 1/3)
(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) 1/6) 2)
(pow.f64 (cbrt.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)
(sqrt.f64 (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)) 2))
(log.f64 (exp.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))))
(log.f64 (+.f64 1 (expm1.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)))))
(expm1.f64 (log1p.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))))
(exp.f64 (log.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))))
(exp.f64 (.f64 (log.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))) 1))
(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)) 1/3))
(log1p.f64 (expm1.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))))

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

eval358.0ms (0.9%)

Compiler: Compiled 35465 to 10305 computations (70.9% saved)

prune495.0ms (1.2%)

Pruning

88 alts after pruning (87 fresh and 1 done)

	Pruned	Kept	Total
New	964	69	1033
Fresh	27	18	45
Picked	1	0	1
Done	3	1	4
Total	995	88	1083

Error

5.11%

Counts

1083 → 88

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.71%	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
	61.78%	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 2)
	77.13%	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
	24.27%	(pow.f64 (cbrt.f64 (.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 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)))))))) R)) 3)
	24.25%	(pow.f64 (cbrt.f64 (.f64 (-.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)))))) R)) 3)
	24.27%	(pow.f64 (cbrt.f64 (.f64 (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)))))))) R)) 3)
	7.31%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)) 3)
	24.29%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)) 3)
	46.23%	(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 lambda2))))) R)) 3)
	46.84%	(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 lambda1))))) R)) 3)
	24.27%	(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)
	53.07%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
	23.75%	(/.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))))))
	52.83%	(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
	52.57%	(/.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 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 phi1 (sin.f64 phi2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) 3))))
	25.19%	(.f64 (pow.f64 (pow.f64 (cbrt.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))) 2) 3) (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)))
	23.51%	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2) R)
	24.23%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
	24.26%	(.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) (.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))))))) R))
	53.04%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 3) R)
	52.54%	(.f64 (/.f64 R (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 phi1 (sin.f64 phi2))))) (.f64 (PI.f64) (.f64 1/4 (PI.f64))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) 3)))
	23.36%	(.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))))))))
	52.48%	(.f64 (/.f64 R (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))) (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))))
	23.28%	(.f64 (-.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)))))) R)
	52.42%	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))) R)
▶	52.54%	(.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1) R)
	24.73%	(.f64 (.f64 (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)) 2) (pow.f64 (cbrt.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))) 2)) (cbrt.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))))
	24.06%	(.f64 (.f64 (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)) 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)))))))) (cbrt.f64 R))
	24.33%	(.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)))))) (pow.f64 (cbrt.f64 R) 2)) (cbrt.f64 R))
	61.85%	(.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)))))) (sqrt.f64 R)) (sqrt.f64 R))
	23.44%	(.f64 (.f64 R (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))))))))
	23.16%	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	23.21%	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	52.35%	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	23.36%	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	52.45%	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	52.31%	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	52.6%	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R)
	47.28%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	47.29%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
	5.97%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
✓	5.88%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	5.92%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2))) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	5.91%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	45.58%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	48.08%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))) R)
	56.39%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	23.14%	(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	23.26%	(.f64 (acos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	37.01%	(.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)
	23.21%	(.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)
	77.53%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
▶	5.89%	(.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)
	46.2%	(.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)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	73.74%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (-.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
	77.65%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 lambda1) 1) (cos.f64 phi1))))) R)
	86.88%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	69.42%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	74.73%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)))))) R)
	54.1%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	52.76%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 3))) R)
	67.43%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (cos.f64 phi1) (/.f64 2 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))))) R)
	52.45%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1))) R)
	41.16%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
	67.9%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))) R)
	41.18%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
	52.58%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
	73.3%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.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)))))))) R)
	72.09%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) R)
	41.18%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.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)
	52.35%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	52.34%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	66.15%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	52.36%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	67.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	60%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
▶	71.65%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
▶	52.4%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	23.22%	(.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	64.57%	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)))
	78.92%	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
	69.34%	(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))
	83.42%	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
	69.46%	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))

Compiler

Compiled 5430 to 3439 computations (36.7% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3%	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
	0.32%	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.41%	(.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)
✓	1.08%	(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)

series15.0ms (0%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	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)
1.0ms	R	@	0	(.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	R	@	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)

rewrite101.0ms (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)))))))

simplify140.0ms (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))))
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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 (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))))
(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))))
(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))))
(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))))
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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))))
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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 (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 (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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(.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)))))
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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)))))
(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)))))
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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)))))
(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)))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(*.f64 phi1 (sin.f64 phi2))
✓	0.24%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
✓	1.83%	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series12.0ms (0%)

Counts

3 → 112

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	lambda2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	R	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`associate-*r/`
1022×	`associate-*l/`
468×	`associate-+l+`
410×	`add-sqr-sqrt`
406×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	372	91
2	5119	91

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

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

simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

954×	`unswap-sqr`
734×	`associate-/l*`
670×	`distribute-lft-in`
648×	`distribute-rgt-in`
648×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	7526
1	432	7506
2	1572	7296
3	5894	7290

Stop Event

1×	node limit

Counts

172 → 94

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.36%	(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
✓	0.6%	(log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	5.32%	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 122 to 18 computations (85.2% saved)

series217.0ms (0.5%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
67.0ms	lambda1	@	-inf	(log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
49.0ms	phi1	@	inf	(log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
24.0ms	lambda2	@	inf	(log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
16.0ms	phi2	@	-inf	(log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
13.0ms	lambda1	@	inf	(log1p.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

rewrite109.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`associate-*r/`
500×	`associate-+l+`
432×	`add-sqr-sqrt`
428×	`*-un-lft-identity`
426×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	113
1	412	113
2	5433	113

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))

(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

(expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (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 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (sqrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2) (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 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simplify195.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1064×	`associate-l`
846×	`+-commutative`
778×	`fma-def`
732×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	15064
1	1565	14716
2	7040	14716

Stop Event

1×	node limit

Counts

248 → 242

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.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 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 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 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 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (pow.f64 phi1 4))) (+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 (.f64 15 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (.f64 -30 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi2) 3)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (pow.f64 phi1 4))) (+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (log.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 1/24 (.f64 (pow.f64 phi2 4) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 phi1) 2)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (+.f64 (.f64 -30 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 phi1) 3)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))) (.f64 15 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 phi1) 2)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))))) (pow.f64 phi2 6))) (+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 1/24 (.f64 (pow.f64 phi2 4) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 phi1) 2)) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))) (log.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))) (+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))) (.f64 1/2 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (cos.f64 phi1) 2))) (pow.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) 2))) (.f64 -1 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 3) (.f64 (pow.f64 (cos.f64 phi2) 3) (pow.f64 (cos.f64 phi1) 3))) (pow.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) 3))) (+.f64 (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))) (.f64 -3 (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (cos.f64 (neg.f64 lambda2))))) (pow.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) 2))))) (pow.f64 lambda1 3))) (+.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))) (.f64 1/2 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (cos.f64 phi1) 2))) (pow.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) 2))) (.f64 -1 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))))))))))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(log.f64 (+.f64 1 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(.f64 1 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(pow.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2))
(log.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(exp.f64 (log.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 0)
(+.f64 1 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1))
(+.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1))
(+.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) -1)
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(+.f64 -1 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1))
(-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 1)
(-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 2) 2)
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))
(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)
(.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))
(.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))
(.f64 (sqrt.f64 (cos.f64 phi1)) (.f64 (sqrt.f64 (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2) (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 phi1)) 2) (.f64 (cbrt.f64 (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))
(.f64 (.f64 (cos.f64 phi1) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (cos.f64 phi1) (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 2)) (cbrt.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1))) (sqrt.f64 (cos.f64 phi1)))
(.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 phi1)) 2)) (cbrt.f64 (cos.f64 phi1)))
(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 1) (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (cos.f64 phi1) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2))))))
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2))))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)) 2)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 1))))
(/.f64 (*.f64 (cos.f64 phi1) (neg.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))) -2)
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2))))) 2)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(/.f64 (.f64 1 (.f64 (cos.f64 phi1) (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))) 2)
(/.f64 (.f64 1 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))) 2)
(/.f64 (.f64 1 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)) 1)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 2))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 3) 1)) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 1))))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (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 (.f64 (cos.f64 phi1) (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 (.f64 (cos.f64 phi1) (sqrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 1) (-.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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 1) (+.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))))))
(pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 3))
(exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.24%	(exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
✓	0.7%	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
✓	0.79%	(acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 143 to 22 computations (84.6% saved)

series345.0ms (0.9%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
156.0ms	lambda2	@	inf	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
36.0ms	phi2	@	-inf	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
24.0ms	lambda2	@	-inf	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
22.0ms	lambda1	@	inf	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)
20.0ms	phi1	@	0	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)

rewrite129.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`associate-*r/`
456×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
446×	`pow1`
420×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	149
1	445	147
2	5565	147

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

(acos.f64 (fma.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (fma.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 (-.f64 (acos.f64 (fma.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 0 (acos.f64 (fma.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 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 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(cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.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 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (fma.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 (+.f64 1 (*.f64 (PI.f64) 1/2)) (+.f64 (asin.f64 (fma.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 (/.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 2) (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2)) (/.f64 1 (+.f64 (acos.f64 (fma.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 (/.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 2) (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 2) (+.f64 (acos.f64 (fma.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 (+.f64 -1 (+.f64 1 (*.f64 (PI.f64) 1/2))) (asin.f64 (fma.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 (acos.f64 (fma.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 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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 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(-.f64 lambda1 lambda2)))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (acos.f64 (fma.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 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))))))

simplify227.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate--r+`
712×	`unswap-sqr`
706×	`associate--l+`
644×	`associate-/l*`
556×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	23886
1	574	23854
2	2254	20910

Stop Event

1×	node limit

Counts

300 → 161

Calls

Call 1

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

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

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.97%	(cbrt.f64 R)
	1.05%	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
✓	1.13%	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 135 to 21 computations (84.4% saved)

series23.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	lambda2	@	inf	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
2.0ms	phi1	@	0	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
2.0ms	phi2	@	0	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
2.0ms	lambda2	@	0	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
2.0ms	phi1	@	-inf	(pow.f64 (.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))))))) (cbrt.f64 R)) 3)

rewrite138.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`associate-*r/`
528×	`add-sqr-sqrt`
518×	`*-un-lft-identity`
514×	`pow1`
488×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	72
1	505	62
2	6399	62

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f64 (.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))))))) (cbrt.f64 R)) 3)
(cbrt.f64 R)

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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 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)))))) R)))) (#(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))))))) (*.f64 (cbrt.f64 R) (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)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.f64 (cbrt.f64 R) (*.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 (*.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 *.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)) (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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.f64 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)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) (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)))))) (#(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))))))) (*.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))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.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))) 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(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) (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)) 2)))))) (#(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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (*.f64 R R))) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (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)) 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)))))))) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (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)) 2) (cbrt.f64 R)) (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 (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 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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)))))) R))) 2)) (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.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 (sqrt.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 *.f64 (pow.f64 (pow.f64 (cbrt.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))) 2) 3) (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)))))) (#(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 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 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 phi1) (*.f64 (cos.f64 phi2) (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 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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 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)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 R 1/6) (pow.f64 R 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 R)) (cbrt.f64 (cbrt.f64 (*.f64 R R))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 R R))) (cbrt.f64 (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 R) 1/3) (pow.f64 (sqrt.f64 R) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 R R)) 1/3) (cbrt.f64 (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 R 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 R 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 R R)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 R))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 R) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 R)))))))

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-rgt-in`
1078×	`distribute-lft-in`
724×	`associate-+r+`
680×	`associate-+l+`
592×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	5533
1	409	5529
2	1314	5405
3	3025	5393

Stop Event

1×	node limit

Counts

103 → 80

Calls

Call 1

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

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

eval366.0ms (0.9%)

Compiler: Compiled 37963 to 10799 computations (71.6% saved)

prune807.0ms (2%)

Pruning

101 alts after pruning (100 fresh and 1 done)

	Pruned	Kept	Total
New	1002	45	1047
Fresh	27	55	82
Picked	1	0	1
Done	4	1	5
Total	1034	101	1135

Error

5.03%

Counts

1135 → 101

Alt Table

Click to see full alt table

Status	Error	Program
	24.61%	(pow.f64 (.f64 (cbrt.f64 (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)) (cbrt.f64 R)) 3)
	24.67%	(pow.f64 (.f64 (cbrt.f64 (-.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))))))) (cbrt.f64 R)) 3)
	7.87%	(pow.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))) (cbrt.f64 R)) 3)
	61.61%	(pow.f64 (.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))))))) (.f64 (pow.f64 (cbrt.f64 (*.f64 R R)) 1/3) (cbrt.f64 (cbrt.f64 R)))) 3)
	46.45%	(pow.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))) (cbrt.f64 R)) 3)
	61.78%	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 2)
	77.13%	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
	24.27%	(pow.f64 (cbrt.f64 (.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 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)))))))) R)) 3)
	24.25%	(pow.f64 (cbrt.f64 (.f64 (-.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)))))) R)) 3)
	7.31%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)) 3)
	24.29%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) R)) 3)
	46.23%	(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 lambda2))))) R)) 3)
	24.27%	(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)
	71.99%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)) 3)
▶	53.07%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
	23.75%	(/.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))))))
	52.83%	(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
	52.57%	(/.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 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 phi1 (sin.f64 phi2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) 3))))
	25.19%	(.f64 (pow.f64 (pow.f64 (cbrt.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))) 2) 3) (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)))
	62.25%	(.f64 (pow.f64 (sqrt.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 (sqrt.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))
	23.51%	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2) R)
	24.23%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
	24.26%	(.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) (.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))))))) R))
	72%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 3) R)
	23.36%	(.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))))))))
	53.29%	(.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)) 3) 1) R)
	52.55%	(.f64 (-.f64 (-.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1) 1) R)
	52.43%	(.f64 (-.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 1) R)
	71.75%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 phi1 (sin.f64 phi2)))) 3)) (/.f64 R (fma.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 phi1 (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (.f64 phi1 (sin.f64 phi2))))) (.f64 (PI.f64) (*.f64 (PI.f64) 1/4)))))
	23.28%	(.f64 (-.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)))))) R)
	71.71%	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (*.f64 phi1 (sin.f64 phi2))))) R)
	71.75%	(.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1) R)
	41.45%	(.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))))) 1) R)
	24.33%	(.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)))))) (pow.f64 (cbrt.f64 R) 2)) (cbrt.f64 R))
	61.85%	(.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)))))) (sqrt.f64 R)) (sqrt.f64 R))
▶	59.35%	(.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)))))) (cbrt.f64 (*.f64 R R))) (cbrt.f64 R))
	23.44%	(.f64 (.f64 R (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))))))))
	23.16%	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	23.21%	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	71.66%	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	23.36%	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	71.69%	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	71.65%	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	71.8%	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)) R)
	47.28%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	47.29%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
✓	5.88%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	45.58%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	48.08%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))) R)
	56.39%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	23.14%	(.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	23.26%	(.f64 (acos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	37.01%	(.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)
	23.21%	(.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)
	77.53%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	5.97%	(.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)
	5.89%	(.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)
	46.2%	(.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)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	73.74%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (-.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
	77.65%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 lambda1) 1) (cos.f64 phi1))))) R)
▶	86.88%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	69.42%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	42.69%	(.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)
	54.1%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	5.87%	(.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)
	52.51%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2)))) R)
	52.56%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 2) 2))) R)
	52.44%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 1))) R)
	64.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))) R)
	85.01%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))) (cos.f64 phi1)))) R)
	71.85%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi1)))) R)
	71.72%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1) (cos.f64 phi1)))) R)
	84.97%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.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))))) (cos.f64 phi1)))) R)
	64.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1)))) R)
	84.59%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi1)))) R)
	41.16%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
	67.9%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))) R)
	52.58%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
	52.35%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	66.15%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	67.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	71.67%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))) R)
	71.67%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))) R)
	78.2%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))) R)
	60%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	81.47%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	81.26%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R)
	76.07%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2)))) R)
	68%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) R)
	72.91%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (fabs.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) R)
▶	74.4%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	5.94%	(.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.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)
	23.22%	(.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	64.57%	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)))
	69.34%	(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))
	90.61%	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 3))
	69.46%	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))

Compiler

Compiled 5888 to 3899 computations (33.8% saved)

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3%	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
	0.32%	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.41%	(.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)
✓	1.08%	(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)

series7.0ms (0%)

Counts

3 → 52

Calls

33 calls:

Time	Variable		Point	Expression
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)
0.0ms	lambda2	@	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))))

rewrite120.0ms (0.3%)

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))))))))

simplify114.0ms (0.3%)

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
✓	0.2%	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
✓	0.82%	(acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 66 to 13 computations (80.3% saved)

series9.0ms (0%)

Counts

3 → 128

Calls

36 calls:

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

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`associate-*r/`
1030×	`associate-*l/`
462×	`associate-+l+`
390×	`add-sqr-sqrt`
386×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	353	93
2	4894	93

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify136.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1428×	`unswap-sqr`
1032×	`distribute-lft-in`
1008×	`distribute-rgt-in`
460×	`associate-/l*`
402×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	9855
1	793	9731
2	2737	9641

Stop Event

1×	node limit

Counts

211 → 170

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
✓	0.24%	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 lambda1 (sin.f64 lambda2))))
✓	0.29%	(.f64 (cos.f64 phi1) (.f64 lambda1 (sin.f64 lambda2)))
	0.32%	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 98 to 17 computations (82.7% saved)

series21.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

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

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`associate-*r/`
704×	`associate-*l/`
450×	`associate-+l+`
444×	`add-sqr-sqrt`
440×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	109
1	416	109
2	5463	109

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs

(*.f64 (cos.f64 phi1) (*.f64 lambda1 (sin.f64 lambda2)))

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

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

Outputs

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

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

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

simplify199.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1210×	`unswap-sqr`
930×	`distribute-rgt-out`
614×	`associate-r`
550×	`distribute-lft-in`
546×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	9119
1	677	8937
2	2465	8487
3	7156	8487

Stop Event

1×	node limit

Counts

193 → 146

Calls

Call 1

Inputs
(*.f64 (sin.f64 lambda2) lambda1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi1) lambda1))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) lambda1))) (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi1) lambda1)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 lambda2 7) (.f64 (cos.f64 phi1) lambda1))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) lambda1))) (.f64 1/120 (.f64 (pow.f64 lambda2 5) (*.f64 (cos.f64 phi1) lambda1))))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) lambda1)))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) lambda1)))) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 4) lambda1))))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) lambda1)))) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 6) lambda1)))) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 4) lambda1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))

Outputs
(*.f64 (sin.f64 lambda2) lambda1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 lambda2) lambda1))
(fma.f64 -1/2 (.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 phi1 phi1)) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (*.f64 (sin.f64 lambda2) lambda1)))
(fma.f64 1/24 (.f64 (.f64 (sin.f64 lambda2) lambda1) (pow.f64 phi1 4)) (fma.f64 -1/2 (.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 phi1 phi1)) (.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 (.f64 (sin.f64 lambda2) lambda1) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (.f64 phi1 phi1)))))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (*.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 lambda2) lambda1))))
(fma.f64 -1/720 (.f64 (.f64 (sin.f64 lambda2) lambda1) (pow.f64 phi1 6)) (fma.f64 1/24 (.f64 (.f64 (sin.f64 lambda2) lambda1) (pow.f64 phi1 4)) (fma.f64 -1/2 (.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 phi1 phi1)) (.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (.f64 (sin.f64 lambda2) lambda1)) (.f64 (.f64 (sin.f64 lambda2) lambda1) (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 (.f64 (sin.f64 lambda2) lambda1) (+.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/720 (pow.f64 phi1 6))) (.f64 -1/2 (*.f64 phi1 phi1)))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))
(.f64 lambda2 (.f64 lambda1 (cos.f64 phi1)))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi1) lambda1))))
(fma.f64 lambda2 (.f64 lambda1 (cos.f64 phi1)) (.f64 -1/6 (.f64 (.f64 lambda1 (cos.f64 phi1)) (pow.f64 lambda2 3))))
(.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3))))
(.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) lambda1))) (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi1) lambda1)))))
(fma.f64 lambda2 (.f64 lambda1 (cos.f64 phi1)) (fma.f64 -1/6 (.f64 (.f64 lambda1 (cos.f64 phi1)) (pow.f64 lambda2 3)) (.f64 1/120 (.f64 (.f64 lambda1 (cos.f64 phi1)) (pow.f64 lambda2 5)))))
(fma.f64 lambda2 (.f64 lambda1 (cos.f64 phi1)) (.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (*.f64 -1/6 (pow.f64 lambda2 3)))))
(.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3))) (.f64 1/120 (pow.f64 lambda2 5))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 lambda2 7) (.f64 (cos.f64 phi1) lambda1))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) lambda1))) (.f64 1/120 (.f64 (pow.f64 lambda2 5) (*.f64 (cos.f64 phi1) lambda1))))))
(fma.f64 -1/5040 (.f64 (.f64 lambda1 (cos.f64 phi1)) (pow.f64 lambda2 7)) (fma.f64 lambda2 (.f64 lambda1 (cos.f64 phi1)) (fma.f64 -1/6 (.f64 (.f64 lambda1 (cos.f64 phi1)) (pow.f64 lambda2 3)) (.f64 1/120 (.f64 (.f64 lambda1 (cos.f64 phi1)) (pow.f64 lambda2 5))))))
(+.f64 (.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (.f64 -1/6 (pow.f64 lambda2 3)))) (.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 (*.f64 -1/5040 (pow.f64 lambda2 7)) lambda2)))
(.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (.f64 -1/6 (pow.f64 lambda2 3))) (+.f64 lambda2 (*.f64 -1/5040 (pow.f64 lambda2 7)))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1))
(.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) lambda1)))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (.f64 phi2 phi2))))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (.f64 lambda1 (.f64 phi2 phi2)) (cos.f64 phi1)))))
(.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (+.f64 (.f64 (.f64 lambda1 (*.f64 phi2 phi2)) -1/2) lambda1))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) lambda1)))) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 4) lambda1))))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (.f64 phi2 phi2)))) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (pow.f64 phi2 4)))))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (fma.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (.f64 lambda1 (.f64 phi2 phi2)) (cos.f64 phi1))) (.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (*.f64 lambda1 (pow.f64 phi2 4)) (cos.f64 phi1))))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (+.f64 (.f64 (.f64 lambda1 (.f64 phi2 phi2)) -1/2) (.f64 (.f64 lambda1 (pow.f64 phi2 4)) 1/24))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) lambda1)))) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 6) lambda1)))) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 4) lambda1)))))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (.f64 phi2 phi2)))) (fma.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi2 6)))) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi2 4))))))))
(fma.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi1)) (fma.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (.f64 lambda1 (.f64 phi2 phi2)) (cos.f64 phi1))) (fma.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (.f64 lambda1 (pow.f64 phi2 4)) (cos.f64 phi1))) (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi2 6))))))))
(+.f64 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (+.f64 (.f64 (.f64 lambda1 (.f64 phi2 phi2)) -1/2) lambda1)) (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (+.f64 (.f64 (.f64 lambda1 (pow.f64 phi2 4)) 1/24) (.f64 (*.f64 lambda1 (pow.f64 phi2 6)) -1/720))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))
(.f64 lambda1 (.f64 (sin.f64 lambda2) (cos.f64 phi2)))
(.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))
(fma.f64 -1/2 (.f64 (.f64 (.f64 phi1 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1)) (.f64 lambda1 (.f64 (sin.f64 lambda2) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (.f64 (*.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 phi1 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1)) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))))
(fma.f64 -1/2 (.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 (.f64 phi1 phi1) (cos.f64 phi2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 1) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2))))
(.f64 (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 phi1 phi1))) (.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))))))
(fma.f64 -1/720 (.f64 (.f64 (pow.f64 phi1 6) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1)) (fma.f64 -1/2 (.f64 (.f64 (.f64 phi1 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1)) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 lambda1 (.f64 (sin.f64 lambda2) (cos.f64 phi2))))))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 1) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2))) (.f64 (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)) (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (.f64 -1/2 (.f64 phi1 phi1)))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (.f64 (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (+.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) (.f64 -1/720 (pow.f64 phi1 6))) (*.f64 1/24 (pow.f64 phi1 4)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 phi1)))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
(.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))
(.f64 (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi1))) (cos.f64 phi2))
(.f64 (.f64 (*.f64 lambda2 (cos.f64 phi2)) (cos.f64 phi1)) lambda1)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1))))
(fma.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 phi2))) (.f64 (.f64 lambda2 (.f64 lambda1 (cos.f64 phi1))) (cos.f64 phi2)))
(fma.f64 (.f64 lambda2 (.f64 lambda1 (cos.f64 phi1))) (cos.f64 phi2) (.f64 -1/6 (.f64 (.f64 lambda1 (cos.f64 phi1)) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))))
(.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(.f64 (.f64 lambda1 (cos.f64 phi1)) (.f64 (cos.f64 phi2) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))))
(fma.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 phi2))) (fma.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 phi2))) (.f64 (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi1))) (cos.f64 phi2))))
(+.f64 (.f64 (.f64 (.f64 lambda2 (cos.f64 phi2)) (cos.f64 phi1)) lambda1) (.f64 (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (.f64 -1/6 (pow.f64 lambda2 3)))))
(.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) lambda1)) (+.f64 lambda2 (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (*.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))) (.f64 -1/5040 (.f64 (pow.f64 lambda2 7) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1)))))))
(fma.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 phi2))) (fma.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 phi2))) (fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 lambda1 (cos.f64 phi1))) (.f64 -1/5040 (.f64 (pow.f64 lambda2 7) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 phi2)))))))
(+.f64 (fma.f64 (.f64 lambda2 (.f64 lambda1 (cos.f64 phi1))) (cos.f64 phi2) (.f64 -1/5040 (.f64 (.f64 lambda1 (cos.f64 phi1)) (.f64 (pow.f64 lambda2 7) (cos.f64 phi2))))) (.f64 (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (*.f64 -1/6 (pow.f64 lambda2 3)))))
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(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(.f64 R (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 lambda2) lambda1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.56%	(cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))
✓	0.7%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
	0.79%	(acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 125 to 19 computations (84.8% saved)

series56.0ms (0.1%)

Counts

2 → 96

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	phi2	@	-inf	(cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))
10.0ms	phi2	@	inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
2.0ms	phi2	@	-inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
2.0ms	lambda2	@	inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
2.0ms	lambda1	@	-inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)

rewrite109.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`associate-*r/`
812×	`associate-*l/`
476×	`add-sqr-sqrt`
466×	`*-un-lft-identity`
464×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	467	110
2	5789	110

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.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 *.f64 (acos.f64 (fma.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 *.f64 R (acos.f64 (fma.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 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (*.f64 (acos.f64 (fma.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 *.f64 1 (*.f64 (acos.f64 (fma.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 *.f64 (sqrt.f64 R) (*.f64 (sqrt.f64 R) (acos.f64 (fma.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 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) (*.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (sqrt.f64 (acos.f64 (fma.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 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 *.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) (sqrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (pow.f64 (cbrt.f64 R) 2) (*.f64 (cbrt.f64 R) (acos.f64 (fma.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 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (cbrt.f64 R) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2) (*.f64 (cbrt.f64 (acos.f64 (fma.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 *.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2) (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R)) (sqrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (acos.f64 (fma.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 R (pow.f64 (cbrt.f64 (acos.f64 (fma.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 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 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2) 1) (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) 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(sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2) (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 2) 3) (cbrt.f64 (*.f64 (acos.f64 (fma.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 /.f64 (*.f64 R (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 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 R (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.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 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 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 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 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 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 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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 1 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 R) (cbrt.f64 (acos.f64 (fma.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 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) 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lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1/6) 2)))) (#(struct:change #<rule egg-rr> 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R))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.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 (cbrt.f64 (*.f64 (acos.f64 (fma.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 exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))))))

simplify165.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-+r+`
1584×	`associate-+l+`
1102×	`unswap-sqr`
500×	`associate-/l*`
494×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	9541
1	439	9533
2	1222	9301
3	4107	9289

Stop Event

1×	node limit

Counts

159 → 95

Calls

Call 1

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

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

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.97%	(cbrt.f64 R)
	1.05%	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	6.29%	(cos.f64 (-.f64 lambda1 lambda2))
✓	47.82%	(cbrt.f64 (*.f64 R R))

Compiler

Compiled 127 to 20 computations (84.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	R	@	0	(cbrt.f64 (*.f64 R R))
0.0ms	R	@	-inf	(cbrt.f64 (*.f64 R R))
0.0ms	R	@	inf	(cbrt.f64 (*.f64 R R))

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`add-sqr-sqrt`
966×	`*-un-lft-identity`
904×	`pow1`
900×	`add-cube-cbrt`
890×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	115	11
2	1315	11

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 R R))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 R R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 R R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 R R))) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4))) (cbrt.f64 (cbrt.f64 (*.f64 R R))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 R) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 R R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 R 4)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 R R))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 R 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R R) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 R R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 R R))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 R) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 R 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 R R))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 R R))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 R R))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 R R))))))))

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-/l*`
1054×	`associate-/r*`
850×	`*-commutative`
704×	`associate--l+`
622×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	406
1	81	340
2	199	274
3	499	274
4	1736	274
5	4749	274

Stop Event

1×	node limit

Counts

18 → 21

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) 1)
(.f64 (cbrt.f64 (.f64 R R)) 1)
(.f64 1 (cbrt.f64 (.f64 R R)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 R R))) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4))) (cbrt.f64 (cbrt.f64 (.f64 R R))))
(*.f64 (cbrt.f64 R) (cbrt.f64 R))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 R R)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 R 4)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 R R))))
(pow.f64 R 2/3)
(pow.f64 (*.f64 R R) 1/3)
(pow.f64 (cbrt.f64 (*.f64 R R)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 R R))) 3)
(pow.f64 (cbrt.f64 R) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 R 4)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 R R))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 R R))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 R R))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 R R))))

Outputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) 1)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(.f64 (cbrt.f64 (.f64 R R)) 1)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(.f64 1 (cbrt.f64 (.f64 R R)))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 R R))) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4))) (cbrt.f64 (cbrt.f64 (.f64 R R))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 R R))) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(*.f64 (cbrt.f64 R) (cbrt.f64 R))
(pow.f64 (cbrt.f64 R) 2)
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 R R)))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 R 4)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 R R))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 R R))) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(pow.f64 R 2/3)
(pow.f64 (cbrt.f64 R) 2)
(pow.f64 (*.f64 R R) 1/3)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(pow.f64 (cbrt.f64 (*.f64 R R)) 1)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 R R))) 3)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(pow.f64 (cbrt.f64 R) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 R 4)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 R R))))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 R R))))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 R R))))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 R R))))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(cbrt.f64 (*.f64 R R))

eval354.0ms (0.9%)

Compiler: Compiled 32995 to 8834 computations (73.2% saved)

prune483.0ms (1.2%)

Pruning

119 alts after pruning (117 fresh and 2 done)

	Pruned	Kept	Total
New	951	52	1003
Fresh	30	65	95
Picked	1	0	1
Done	3	2	5
Total	985	119	1104

Error

5.02%

Counts

1104 → 119

Alt Table

Click to see full alt table

Status	Error	Program
	24.61%	(pow.f64 (.f64 (cbrt.f64 (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)) (cbrt.f64 R)) 3)
	24.67%	(pow.f64 (.f64 (cbrt.f64 (-.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))))))) (cbrt.f64 R)) 3)
	7.87%	(pow.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))) (cbrt.f64 R)) 3)
	61.61%	(pow.f64 (.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))))))) (.f64 (pow.f64 (cbrt.f64 (*.f64 R R)) 1/3) (cbrt.f64 (cbrt.f64 R)))) 3)
	46.45%	(pow.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))) (cbrt.f64 R)) 3)
	53.32%	(pow.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) (cbrt.f64 R)) 3)
	61.78%	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 2)
	77.13%	(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
	53.29%	(pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)) 2) (cbrt.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)) -1) R)) 3)
	24.27%	(pow.f64 (cbrt.f64 (.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 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)))))))) R)) 3)
	53.08%	(pow.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2) R)) 3)
	24.25%	(pow.f64 (cbrt.f64 (.f64 (-.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)))))) R)) 3)
	86.88%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	7.31%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)) 3)
	46.23%	(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 lambda2))))) R)) 3)
	24.27%	(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)
	71.99%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)) 3)
	42.16%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)) 3)
	68.06%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)) 3)
	68.36%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)) 3)
	74.74%	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)) 3)
	74.5%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 phi1 phi2 (.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 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (asin.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))
	52.83%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
	23.75%	(/.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))))))
	62.25%	(.f64 (pow.f64 (sqrt.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 (sqrt.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))
	23.51%	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2) R)
	24.23%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
	74.75%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 3) R)
	23.36%	(.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))))))))
	53.29%	(.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)) 3) 1) R)
	52.55%	(.f64 (-.f64 (-.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1) 1) R)
	52.43%	(.f64 (-.f64 (+.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1) 1) R)
	23.29%	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	71.71%	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (*.f64 phi1 (sin.f64 phi2))))) R)
	74.46%	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1) (*.f64 phi1 phi2)))) R)
	41.45%	(.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))))) 1) R)
	74.5%	(.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) 1) R)
	59.37%	(.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (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 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (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))))))))) (cbrt.f64 (*.f64 R R))) (cbrt.f64 R))
	59.34%	(.f64 (.f64 (-.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)))))) (cbrt.f64 (.f64 R R))) (cbrt.f64 R))
	59.35%	(.f64 (.f64 (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)))))))) (cbrt.f64 (*.f64 R R))) (cbrt.f64 R))
	51.83%	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (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))))))))) (cbrt.f64 (*.f64 R R))) (cbrt.f64 R))
	59.68%	(.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)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 R R))) 3)) (cbrt.f64 R))
	24.33%	(.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)))))) (pow.f64 (cbrt.f64 R) 2)) (cbrt.f64 R))
	60.77%	(.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)))))) (cbrt.f64 (.f64 R R))) (.f64 (pow.f64 (cbrt.f64 (*.f64 R R)) 1/3) (cbrt.f64 (cbrt.f64 R))))
	70.89%	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (cbrt.f64 (*.f64 R R))) (cbrt.f64 R))
	53.11%	(.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (cbrt.f64 R) 2)) (cbrt.f64 R))
	77.19%	(.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R)) (sqrt.f64 R))
	23.44%	(.f64 (.f64 R (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))))))))
	52.5%	(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
	23.16%	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	23.21%	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	74.41%	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	23.36%	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	74.44%	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	74.4%	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	74.55%	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)) R)
	23.14%	(.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	47.28%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	47.29%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
✓	5.88%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	45.58%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	48.08%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (fabs.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))) R)
	56.39%	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	23.26%	(.f64 (acos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 3) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	37.01%	(.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)
	23.21%	(.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)
	77.53%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	90.23%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (*.f64 lambda2 (cos.f64 phi2)) (cos.f64 phi1)) lambda1))) R)
	86.88%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) lambda1) (sin.f64 lambda2)))) R)
	5.97%	(.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)
	46.2%	(.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)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	73.74%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (-.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) R)
	45.58%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
	46.13%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	69.42%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	42.69%	(.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)
	54.1%	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	5.87%	(.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)
	41.16%	(.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 phi1 (sin.f64 phi2)))) R)
	5.94%	(.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))))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) R)
	52.51%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)) 1) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2)))) R)
	52.56%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 2) 2))) R)
	52.44%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 1) 1))) R)
	64.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1)))) R)
	67.9%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))) R)
	52.58%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) R)
	52.35%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) R)
	66.15%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	67.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	60%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	81.47%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	81.26%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R)
	76.07%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2)))) R)
	72.91%	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (fabs.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) R)
	78.49%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (+.f64 (-.f64 phi1 lambda1) lambda2))) 2))) R)
	78.55%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))))))) R)
	74.49%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))) R)
	67.39%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))) R)
	86.05%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1))) (cos.f64 phi1)))) R)
	74.6%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) (cos.f64 phi1)))) R)
	86%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (+.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))))) (cos.f64 phi1)))) R)
	67.39%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1)))) R)
	85.73%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi1)))) R)
	74.42%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))) R)
	74.42%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))) R)
	80.8%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))) R)
	67.39%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
	83.43%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	82.92%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	74.46%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
	82.03%	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R)
	23.22%	(.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	90.14%	(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 lambda1 (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
	64.57%	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)))
	69.34%	(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))
	91.98%	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 phi2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 3))
	69.46%	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))

Compiler

Compiled 3458 to 2288 computations (33.8% saved)

regimes1.7s (4.1%)

Counts

218 → 1

Calls

Call 1

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

Outputs

(*.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:

228.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
164.0ms	(-.f64 lambda1 lambda2)
160.0ms	(.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)
154.0ms	lambda2
150.0ms	phi1

Results

Error	Segments	Branch
5.87%	1	`R`
5.87%	1	`lambda1`
5.87%	1	`lambda2`
5.87%	1	`phi1`
5.87%	1	`phi2`
5.87%	1	`(.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)`
5.87%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
5.87%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
5.87%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
5.87%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5623 to 1385 computations (75.4% saved)

regimes2.2s (5.5%)

Counts

160 → 3

Calls

Call 1

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

Outputs

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

Calls

10 calls:

610.0ms	lambda2
359.0ms	lambda1
297.0ms	phi2
258.0ms	phi1
117.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
23.14%	1	`R`
17.22%	4	`lambda1`
17.06%	6	`lambda2`
14.43%	3	`phi1`
13.99%	3	`phi2`
23.14%	1	`(.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)`
23.14%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.14%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.14%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.14%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3298 to 928 computations (71.9% saved)

bsearch259.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
99.0ms	1343191721054079700.0	17513546161324972000.0
158.0ms	-128298.4369051087	-5.044602105145145e-5

Results

203.0ms	158×	body	1024	valid
33.0ms	38×	body	512	valid
14.0ms	42×	body	256	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 875 to 627 computations (28.3% saved)

regimes2.5s (6.1%)

Counts

137 → 3

Calls

Call 1

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

Outputs

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

Calls

10 calls:

1.0s	lambda2
309.0ms	lambda1
284.0ms	phi1
257.0ms	phi2
113.0ms	R

Results

Error	Segments	Branch
23.14%	1	`R`
17.22%	4	`lambda1`
17.06%	6	`lambda2`
14.43%	3	`phi1`
14%	3	`phi2`
23.14%	1	`(.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)`
23.14%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.14%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.14%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.14%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2804 to 843 computations (69.9% saved)

bsearch266.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
123.0ms	1343191721054079700.0	17513546161324972000.0
141.0ms	-128298.4369051087	-5.044602105145145e-5

Results

189.0ms	142×	body	1024	valid
23.0ms	37×	body	512	valid
23.0ms	56×	body	256	valid
20.0ms	5×	body	2048	valid

Compiler

Compiled 875 to 627 computations (28.3% saved)

regimes1.8s (4.5%)

Counts

136 → 3

Calls

Call 1

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

Outputs

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

Calls

10 calls:

506.0ms	lambda2
266.0ms	lambda1
232.0ms	phi1
226.0ms	phi2
106.0ms	(+.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
23.14%	1	`R`
17.22%	4	`lambda1`
17.06%	6	`lambda2`
14.43%	3	`phi1`
14%	3	`phi2`
23.14%	1	`(.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)`
23.14%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.14%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.14%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.14%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2784 to 840 computations (69.8% saved)

bsearch244.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
101.0ms	1343191721054079700.0	17513546161324972000.0
140.0ms	-128298.4369051087	-5.044602105145145e-5

Results

167.0ms	138×	body	1024	valid
33.0ms	44×	body	512	valid
17.0ms	7×	body	2048	valid
16.0ms	51×	body	256	valid

Compiler

Compiled 893 to 645 computations (27.8% saved)

regimes1.6s (3.9%)

Counts

125 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.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:

325.0ms	lambda2
216.0ms	lambda1
212.0ms	phi1
176.0ms	phi2
138.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
23.14%	1	`R`
18.4%	4	`lambda1`
19.21%	5	`lambda2`
14.43%	3	`phi1`
19.61%	3	`phi2`
23.14%	1	`(.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)`
23.14%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.14%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.14%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.14%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2536 to 783 computations (69.1% saved)

bsearch263.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
137.0ms	3.2633720587202587e-23	7.659149955344265e-18
124.0ms	-8.29499450844533e+63	-7.768951321985262e+59

Results

194.0ms	166×	body	1024	valid
24.0ms	70×	body	256	valid
23.0ms	32×	body	512	valid
11.0ms	4×	body	2048	valid

Compiler

Compiled 1012 to 732 computations (27.7% saved)

regimes1.1s (2.6%)

Counts

123 → 3

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

239.0ms	phi2
135.0ms	lambda1
118.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
82.0ms	(-.f64 lambda1 lambda2)
78.0ms	(.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
23.14%	1	`R`
21.14%	2	`lambda1`
23.14%	1	`lambda2`
23.14%	1	`phi1`
19.61%	3	`phi2`
23.14%	1	`(.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)`
23.14%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.14%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.14%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.14%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2486 to 770 computations (69% saved)

bsearch319.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
167.0ms	1.0294919777465868e-135	7.423942644158575e-131
150.0ms	-2.5937084893191056e-157	-5.416488058709116e-168

Results

252.0ms	196×	body	1024	valid
37.0ms	56×	body	512	valid
15.0ms	48×	body	256	valid
8.0ms	4×	body	2048	valid

Compiler

Compiled 982 to 689 computations (29.8% saved)

regimes652.0ms (1.6%)

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

120.0ms	phi2
80.0ms	lambda1
75.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
70.0ms	lambda2
47.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
23.14%	1	`R`
21.22%	2	`lambda1`
23.14%	1	`lambda2`
23.14%	1	`phi1`
19.62%	3	`phi2`
23.14%	1	`(.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)`
23.14%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.14%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.14%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.14%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1522 to 531 computations (65.1% saved)

bsearch308.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
144.0ms	1.0294919777465868e-135	7.423942644158575e-131
160.0ms	-2.5937084893191056e-157	-5.416488058709116e-168

Results

215.0ms	190×	body	1024	valid
47.0ms	69×	body	512	valid
19.0ms	7×	body	2048	valid
14.0ms	38×	body	256	valid

Compiler

Compiled 1001 to 708 computations (29.3% saved)

regimes578.0ms (1.4%)

Counts

72 → 3

Calls

Call 1

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

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 phi1 phi2) (*.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)

Calls

10 calls:

115.0ms	phi2
110.0ms	lambda1
44.0ms	R
43.0ms	(-.f64 lambda1 lambda2)
41.0ms	lambda2

Results

Error	Segments	Branch
23.16%	1	`R`
21.25%	2	`lambda1`
23.16%	1	`lambda2`
23.16%	1	`phi1`
19.64%	3	`phi2`
23.16%	1	`(.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)`
23.16%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.16%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.16%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.16%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1410 to 509 computations (63.9% saved)

bsearch340.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
162.0ms	1.0294919777465868e-135	7.423942644158575e-131
177.0ms	-2.5937084893191056e-157	-5.416488058709116e-168

Results

259.0ms	193×	body	1024	valid
47.0ms	66×	body	512	valid
17.0ms	8×	body	2048	valid
11.0ms	37×	body	256	valid

Compiler

Compiled 1020 to 727 computations (28.7% saved)

regimes351.0ms (0.9%)

Counts

56 → 1

Calls

Call 1

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

Calls

10 calls:

37.0ms	phi1
35.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
35.0ms	(-.f64 lambda1 lambda2)
34.0ms	lambda2
34.0ms	R

Results

Error	Segments	Branch
23.16%	1	`R`
23.16%	1	`lambda1`
23.16%	1	`lambda2`
23.16%	1	`phi1`
23.16%	1	`phi2`
23.16%	1	`(.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)`
23.16%	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
23.16%	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
23.16%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
23.16%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1094 to 410 computations (62.5% saved)

regimes835.0ms (2.1%)

Counts

54 → 2

Calls

Call 1

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

Calls

7 calls:

204.0ms	(-.f64 lambda1 lambda2)
139.0ms	R
135.0ms	phi2
134.0ms	phi1
83.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
37.15%	5	`R`
23.05%	2	`lambda1`
23.13%	2	`lambda2`
29.53%	5	`phi1`
31.93%	5	`phi2`
39.26%	3	`(cos.f64 (-.f64 lambda1 lambda2))`
35.43%	7	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 988 to 351 computations (64.5% saved)

bsearch130.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
129.0ms	-2.4623949751972693e-6	-6.386395082864439e-9

Results

94.0ms	75×	body	1024	valid
22.0ms	24×	body	512	valid
9.0ms	28×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 400 to 296 computations (26% saved)

regimes583.0ms (1.4%)

Counts

45 → 3

Calls

Call 1

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

Calls

7 calls:

162.0ms	(-.f64 lambda1 lambda2)
89.0ms	lambda1
71.0ms	phi2
69.0ms	R
67.0ms	phi1

Results

Error	Segments	Branch
43.89%	3	`R`
37.82%	4	`lambda1`
33.37%	2	`lambda2`
32.19%	3	`phi1`
35.82%	3	`phi2`
42.39%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
37.85%	7	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 827 to 306 computations (63% saved)

bsearch289.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
168.0ms	9.903555794631473e-9	15868498608040.477
120.0ms	-9.677355840638037e+19	-5372526050284134000.0

Results

206.0ms	182×	body	1024	valid
27.0ms	8×	body	2048	valid
26.0ms	63×	body	256	valid
24.0ms	35×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 878 to 636 computations (27.6% saved)

regimes681.0ms (1.7%)

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

155.0ms	lambda2
150.0ms	lambda1
123.0ms	R
83.0ms	(-.f64 lambda1 lambda2)
67.0ms	phi1

Results

Error	Segments	Branch
48.25%	5	`R`
47.04%	5	`lambda1`
46.35%	5	`lambda2`
35.83%	3	`phi1`
39.97%	2	`phi2`
43.34%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
41.25%	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 810 to 302 computations (62.7% saved)

bsearch398.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
169.0ms	9.903555794631473e-9	15868498608040.477
228.0ms	-111930873.29373196	-5.0310438847615116e-6

Results

333.0ms	226×	body	1024	valid
27.0ms	39×	body	512	valid
21.0ms	67×	body	256	valid
10.0ms	4×	body	2048	valid

Compiler

Compiled 966 to 696 computations (28% saved)

regimes609.0ms (1.5%)

Counts

34 → 3

Calls

Call 1

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

Outputs

(*.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 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 (cos.f64 phi2) (cos.f64 phi1)))) R)

Calls

7 calls:

128.0ms	lambda1
92.0ms	R
88.0ms	lambda2
81.0ms	(-.f64 lambda1 lambda2)
72.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
49.87%	3	`R`
47.12%	5	`lambda1`
46.35%	5	`lambda2`
39.09%	3	`phi1`
41.16%	2	`phi2`
43.34%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
43.24%	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 652 to 266 computations (59.2% saved)

bsearch189.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
176.0ms	9.903555794631473e-9	15868498608040.477
12.0ms	-4288088329.321572	-560683307.0248507

Results

138.0ms	114×	body	1024	valid
18.0ms	29×	body	512	valid
18.0ms	45×	body	256	valid
11.0ms	4×	body	2048	valid

Compiler

Compiled 564 to 410 computations (27.3% saved)

regimes289.0ms (0.7%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

62.0ms	lambda2
60.0ms	phi2
45.0ms	lambda1
42.0ms	phi1
35.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
52.31%	1	`R`
49.72%	3	`lambda1`
47.05%	5	`lambda2`
40.26%	3	`phi1`
50.13%	3	`phi2`
43.34%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
43.34%	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 449 to 187 computations (58.4% saved)

bsearch267.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
181.0ms	9.903555794631473e-9	15868498608040.477
85.0ms	-1.2747395681124757e+82	-5.654980819116201e+81

Results

203.0ms	156×	body	1024	valid
41.0ms	61×	body	512	valid
11.0ms	36×	body	256	valid
6.0ms	3×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 736 to 536 computations (27.2% saved)

regimes427.0ms (1.1%)

Counts

23 → 4

Calls

Call 1

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

Outputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)

Calls

7 calls:

101.0ms	R
95.0ms	lambda2
71.0ms	phi1
52.0ms	phi2
45.0ms	lambda1

Results

Error	Segments	Branch
56.39%	5	`R`
50.11%	3	`lambda1`
48.28%	5	`lambda2`
40.32%	4	`phi1`
50.19%	3	`phi2`
47.71%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
47.58%	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 413 to 180 computations (56.4% saved)

bsearch415.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
228.0ms	9.903555794631473e-9	15868498608040.477
91.0ms	-560683307.0248507	-111930873.29373196
96.0ms	-1.2747395681124757e+82	-5.654980819116201e+81

Results

343.0ms	239×	body	1024	valid
37.0ms	61×	body	512	valid
14.0ms	45×	body	256	valid
14.0ms	7×	body	2048	valid

Compiler

Compiled 951 to 695 computations (26.9% saved)

regimes198.0ms (0.5%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

7 calls:

40.0ms	phi1
37.0ms	lambda2
31.0ms	R
24.0ms	(-.f64 lambda1 lambda2)
23.0ms	phi2

Results

Error	Segments	Branch
58.17%	3	`R`
54.7%	3	`lambda1`
51.51%	5	`lambda2`
40.32%	4	`phi1`
50.19%	3	`phi2`
47.71%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
47.58%	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 249 to 125 computations (49.8% saved)

bsearch437.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
183.0ms	9.903555794631473e-9	15868498608040.477
125.0ms	-560683307.0248507	-111930873.29373196
129.0ms	-1.2747395681124757e+82	-5.654980819116201e+81

Results

262.0ms	215×	body	1024	valid
120.0ms	68×	body	512	valid
37.0ms	64×	body	256	valid
12.0ms	5×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 929 to 673 computations (27.6% saved)

regimes505.0ms (1.2%)

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

446.0ms	phi1
14.0ms	phi2
10.0ms	(-.f64 lambda1 lambda2)
9.0ms	lambda1
7.0ms	R

Results

Error	Segments	Branch
60%	1	`R`
60%	1	`lambda1`
60%	1	`lambda2`
52.37%	2	`phi1`
52.37%	2	`phi2`
60%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
60%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 235 to 119 computations (49.4% saved)

bsearch114.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
113.0ms	1.5047162046567505e-83	8.115205924251395e-82

Results

90.0ms	72×	body	1024	valid
11.0ms	19×	body	512	valid
9.0ms	20×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 319 to 227 computations (28.8% saved)

regimes57.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	(-.f64 lambda1 lambda2)
7.0ms	lambda1
7.0ms	phi1
6.0ms	R
6.0ms	phi2

Results

Error	Segments	Branch
71.65%	1	`R`
71.65%	1	`lambda1`
71.65%	1	`lambda2`
71.65%	1	`phi1`
71.65%	1	`phi2`
71.65%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
71.65%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 203 to 107 computations (47.3% saved)

regimes79.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

7 calls:

21.0ms	lambda1
12.0ms	phi2
12.0ms	lambda2
7.0ms	(cos.f64 (-.f64 lambda1 lambda2))
6.0ms	R

Results

Error	Segments	Branch
74.4%	1	`R`
71.57%	2	`lambda1`
71.7%	2	`lambda2`
74.4%	1	`phi1`
72.81%	2	`phi2`
74.4%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
74.4%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 188 to 104 computations (44.7% saved)

bsearch126.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
125.0ms	-2.4623949751972693e-6	-6.386395082864439e-9

Results

98.0ms	79×	body	1024	valid
11.0ms	31×	body	256	valid
9.0ms	16×	body	512	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 336 to 248 computations (26.2% saved)

regimes46.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	phi2
6.0ms	lambda1
5.0ms	(-.f64 lambda1 lambda2)
5.0ms	R
5.0ms	phi1

Results

Error	Segments	Branch
74.4%	1	`R`
74.4%	1	`lambda1`
74.4%	1	`lambda2`
74.4%	1	`phi1`
74.4%	1	`phi2`
74.4%	1	`(cos.f64 (-.f64 lambda1 lambda2))`
74.4%	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 160 to 93 computations (41.9% saved)

regimes68.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

19.0ms	R
12.0ms	lambda1
8.0ms	phi1
8.0ms	(-.f64 lambda1 lambda2)
6.0ms	phi2

Results

Error	Segments	Branch
77.7%	6	`R`
74.3%	2	`lambda1`
74.44%	2	`lambda2`
76.14%	2	`phi1`
79.49%	2	`phi2`
78.01%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
78.08%	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 87 to 60 computations (31% saved)

bsearch120.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
120.0ms	-2.4623949751972693e-6	-6.386395082864439e-9

Results

87.0ms	80×	body	1024	valid
14.0ms	23×	body	512	valid
10.0ms	23×	body	256	valid
7.0ms	2×	body	2048	valid

Compiler

Compiled 320 to 232 computations (27.5% saved)

regimes55.0ms (0.1%)

Accuracy

Total -8.3b remaining (-17.1%)

Threshold costs -8.3b (-17.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	phi1
10.0ms	lambda1
8.0ms	(cos.f64 (-.f64 lambda1 lambda2))
6.0ms	phi2
6.0ms	lambda2

Results

Error	Segments	Branch
82.03%	1	`R`
79.03%	2	`lambda1`
76.1%	2	`lambda2`
76.14%	2	`phi1`
79.51%	2	`phi2`
78.01%	2	`(cos.f64 (-.f64 lambda1 lambda2))`
78.38%	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 75 to 55 computations (26.7% saved)

bsearch97.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
97.0ms	19.01235409257961	1937.0884147137665

Results

63.0ms	60×	body	1024	valid
19.0ms	30×	body	256	valid
13.0ms	22×	body	512	valid

Compiler

Compiled 277 to 199 computations (28.2% saved)

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

102×	`*-commutative`
60×	`+-commutative`
12×	`sub-neg`
10×	`if-if-or-not`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	3117
1	345	3117
2	354	3117
3	360	3117
4	363	3117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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 -1152921504606847/72057594037927936) (.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R) (if (<=.f64 phi2 1400000000000000000) (.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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -7839866231326559/4611686018427387904) (.f64 (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)))))))) R) (if (<=.f64 phi2 1400000000000000000) (.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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -6456360425798343/2305843009213693952) (.f64 (-.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)))))) R) (if (<=.f64 phi2 1400000000000000000) (.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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi1 -780000000000000042588707862310427877083086351936430199013376) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi1 4867778304876401/649037107316853453566312041152512) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R) (.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.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 -54412688324083/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 7288408775393753/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -3735678383849771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 3437060138290949/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -6798566308054619/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.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 3764399199080563/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(if (<=.f64 lambda1 -7650233702248825/4722366482869645213696) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R))
(if (<=.f64 phi1 -5500000000000000000) (.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 phi1 7493989779944505/288230376151711744) (.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) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)))
(if (<=.f64 phi1 -1) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R) (if (<=.f64 phi1 230000000) (.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) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -4000000000) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi1 3715469692580659/1125899906842624) (.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) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -6800000000000000054465616634447568153502377122156871178120522167111859233464778752) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 14800000000000) (.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) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -6699999999999999620025803636940805748053110525835137053580121662393285550515683328) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 -112000000) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R) (if (<=.f64 phi1 7998392938210001/36028797018963968) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))
(if (<=.f64 phi1 -7200000000000000107228201927559630608611000568716890573960597777200373896285519872) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 -112000000) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (if (<=.f64 phi1 1080863910568919/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))
(if (<=.f64 phi2 1495190925144637/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(if (<=.f64 lambda1 -8689154328480147/37778931862957161709568) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(if (<=.f64 lambda1 -5893513370621317/75557863725914323419136) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R))
(if (<=.f64 lambda2 39/2) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (*.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R)

Outputs
(.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 -1152921504606847/72057594037927936) (.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R) (if (<=.f64 phi2 1400000000000000000) (.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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -1152921504606847/72057594037927936) (.f64 R (log.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)))))))) (if (<=.f64 phi2 1400000000000000000) (.f64 R (acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.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)))))))
(if (<=.f64 phi2 -7839866231326559/4611686018427387904) (.f64 (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)))))))) R) (if (<=.f64 phi2 1400000000000000000) (.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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -7839866231326559/4611686018427387904) (.f64 R (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))))))))) (if (<=.f64 phi2 1400000000000000000) (.f64 R (acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.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)))))))
(if (<=.f64 phi2 -6456360425798343/2305843009213693952) (.f64 (-.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)))))) R) (if (<=.f64 phi2 1400000000000000000) (.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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (<=.f64 phi2 -6456360425798343/2305843009213693952) (.f64 R (-.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))))))) (if (<=.f64 phi2 1400000000000000000) (.f64 R (acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.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)))))))
(if (<=.f64 phi1 -780000000000000042588707862310427877083086351936430199013376) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi1 4867778304876401/649037107316853453566312041152512) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R) (.f64 (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)))
(if (<=.f64 phi1 -780000000000000042588707862310427877083086351936430199013376) (.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))))) (if (<=.f64 phi1 4867778304876401/649037107316853453566312041152512) (.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))) (.f64 R (acos.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(if (<=.f64 phi2 -54412688324083/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 7288408775393753/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (or (<=.f64 phi2 -54412688324083/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (not (<=.f64 phi2 7288408775393753/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448))) (.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 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(if (<=.f64 phi2 -3735678383849771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) (if (<=.f64 phi2 3437060138290949/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
(if (or (<=.f64 phi2 -3735678383849771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (not (<=.f64 phi2 3437060138290949/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376))) (.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 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(if (<=.f64 phi2 -6798566308054619/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.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 3764399199080563/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.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)))
(if (or (<=.f64 phi2 -6798566308054619/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (not (<=.f64 phi2 3764399199080563/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(.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 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 lambda1 -7650233702248825/4722366482869645213696) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R))
(if (<=.f64 lambda1 -7650233702248825/4722366482869645213696) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 phi1 -5500000000000000000) (.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 phi1 7493989779944505/288230376151711744) (.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) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)))
(if (or (<=.f64 phi1 -5500000000000000000) (not (<=.f64 phi1 7493989779944505/288230376151711744))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(if (<=.f64 phi1 -1) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))) R) (if (<=.f64 phi1 230000000) (.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) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -1) (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) (if (<=.f64 phi1 230000000) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(if (<=.f64 phi1 -4000000000) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi1 3715469692580659/1125899906842624) (.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) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -4000000000) (.f64 R (acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (if (<=.f64 phi1 3715469692580659/1125899906842624) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(if (<=.f64 phi1 -6800000000000000054465616634447568153502377122156871178120522167111859233464778752) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 14800000000000) (.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) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (or (<=.f64 phi1 -6800000000000000054465616634447568153502377122156871178120522167111859233464778752) (not (<=.f64 phi1 14800000000000))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(if (<=.f64 phi1 -6699999999999999620025803636940805748053110525835137053580121662393285550515683328) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 -112000000) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) R) (if (<=.f64 phi1 7998392938210001/36028797018963968) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))
(if (<=.f64 phi1 -6699999999999999620025803636940805748053110525835137053580121662393285550515683328) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (if (<=.f64 phi1 -112000000) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (if (<=.f64 phi1 7998392938210001/36028797018963968) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(if (<=.f64 phi1 -7200000000000000107228201927559630608611000568716890573960597777200373896285519872) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 -112000000) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (if (<=.f64 phi1 1080863910568919/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))
(if (<=.f64 phi1 -7200000000000000107228201927559630608611000568716890573960597777200373896285519872) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (if (<=.f64 phi1 -112000000) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi1 1080863910568919/18014398509481984) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(if (<=.f64 phi2 1495190925144637/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(if (<=.f64 phi2 1495190925144637/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda1 -8689154328480147/37778931862957161709568) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(if (<=.f64 lambda1 -8689154328480147/37778931862957161709568) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda1 -5893513370621317/75557863725914323419136) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R))
(if (<=.f64 lambda1 -5893513370621317/75557863725914323419136) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 lambda2 39/2) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (*.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R))
(if (<=.f64 lambda2 39/2) (.f64 R (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi1)))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi1))))

Compiler

Compiled 1127 to 659 computations (41.5% saved)

soundness0.0ms (0%)

end224.0ms (0.6%)

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 1141 to 322 computations (71.8% 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