Details

analyze1.0s (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 (21.8%)

Results

6.7s	5717×	body	1024	valid
969.0ms	1487×	body	512	valid
546.0ms	242×	body	2048	valid
295.0ms	810×	body	256	valid
12.0ms	2×	body	1024	infinite

Bogosity

preprocess143.0ms (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)

simplify22.0ms (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

16.8b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
▶	16.8b	(.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

▶

16.8b

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

▶

16.8b

(*.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)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	0.9b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	1.8b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 97 to 17 computations (82.5% saved)

series21.0ms (0.1%)

Counts

4 → 172

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	-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 (.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	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)))

rewrite111.0ms (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	150
1	434	150
2	5947	150

Stop Event

1×	node limit

Counts

4 → 100

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

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

simplify163.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-r`
1062×	`associate-/l*`
1020×	`associate-l`
624×	`associate-/r*`
618×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	14312
1	1048	14170
2	4939	13870

Stop Event

1×	node limit

Counts

272 → 245

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
✓	0.9b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	1.8b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series11.0ms (0%)

Counts

3 → 144

Calls

36 calls:

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

rewrite109.0ms (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	5501	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 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))

Inputs

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

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

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

Outputs
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Outputs

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simplify146.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1448×	`unswap-sqr`
1036×	`distribute-lft-in`
1010×	`distribute-rgt-in`
460×	`associate-/l*`
426×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	13343
1	820	13259
2	2793	13169

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

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

eval133.0ms (0.3%)

Compiler: Compiled 15980 to 3943 computations (75.3% saved)

prune202.0ms (0.5%)

Pruning

56 alts after pruning (56 fresh and 0 done)

	Pruned	Kept	Total
New	434	56	490
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	436	56	492

Error

3.4b

Counts

492 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	53.3b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
	17.4b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
	16.9b	(/.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))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (/.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)))))) R))
	16.9b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
	16.9b	(/.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 (sin.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 (sin.f64 phi1) (sin.f64 phi2)))) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	16.9b	(/.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))))
	16.8b	(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3) R)
	17.4b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3) R)
	16.8b	(.f64 (-.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))))))) R)
	16.8b	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.8b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.9b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.8b	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.9b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R)
	31.0b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))))))))) R)
	3.9b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (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 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))) R)
▶	31.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)))))) R)
	3.9b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (/.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
▶	3.8b	(.f64 (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 lambda1) (sin.f64 lambda2))))))) R)
	35.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))))) R)
▶	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	30.1b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	32.0b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (fabs.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	37.5b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	17.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 3))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.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)))))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) R)
	26.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (-.f64 phi2 phi1))))))) R)
	4.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 phi1) (/.f64 (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 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))))))) R)
	28.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 phi1) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1))) R)
	3.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (cos.f64 phi1) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1)))))) (.f64 (cos.f64 phi2) (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))))) R)
	43.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2))))) R)
	40.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)) (+.f64 1 (.f64 (.f64 phi2 phi2) -1/2))))) R)
	31.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	17.0b	(.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)
	35.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))) R)
	3.8b	(.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)
	34.7b	(.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)
	37.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
	16.8b	(.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)
	30.0b	(.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)
	16.8b	(.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)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi1) (log.f64 (exp.f64 (cos.f64 phi2))))))) R)
	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))) R)
▶	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	30.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	34.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (fabs.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	16.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) 3)))) R)
▶	41.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
	44.9b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
	44.9b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))

Compiler

Compiled 3722 to 2324 computations (37.6% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
✓	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.2b	(.f64 (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 lambda1) (sin.f64 lambda2))))))) R)
✓	1.0b	(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 lambda1) (sin.f64 lambda2)))))))

Compiler

Compiled 137 to 20 computations (85.4% saved)

series17.0ms (0%)

Counts

4 → 168

Calls

42 calls:

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

rewrite114.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`distribute-lft-in`
506×	`add-sqr-sqrt`
504×	`pow1`
504×	`*-un-lft-identity`
500×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	204
1	479	144
2	5942	144

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

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

simplify177.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1404×	`distribute-lft-in`
1386×	`distribute-rgt-in`
824×	`associate-+r+`
712×	`associate-r`
698×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	397	17485
1	1073	17157
2	4025	17157

Stop Event

1×	node limit

Counts

279 → 246

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
✓	1.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
✓	1.8b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 78 to 15 computations (80.8% saved)

series15.0ms (0%)

Counts

4 → 132

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
1.0ms	phi1	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.0ms	phi2	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.0ms	phi1	@	0	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.0ms	lambda2	@	0	(cos.f64 (-.f64 lambda2 lambda1))

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`associate-*r/`
534×	`associate-+l+`
440×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	397	114
2	5542	114

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

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

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

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1816×	`unswap-sqr`
1110×	`distribute-lft-in`
1090×	`distribute-rgt-in`
494×	`associate-r`
430×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	9837
1	817	9713
2	3036	9649

Stop Event

1×	node limit

Counts

225 → 189

Calls

Call 1

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

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
✓	1.0b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2))))
✓	5.6b	(cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))
✓	5.6b	(cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))

Compiler

Compiled 161 to 35 computations (78.3% saved)

series17.0ms (0%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	0	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
0.0ms	lambda2	@	-inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`+-commutative`
594×	`add-sqr-sqrt`
584×	`pow1`
584×	`*-un-lft-identity`
550×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	190
1	544	142
2	7784	142

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify160.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-/r*`
898×	`distribute-lft-in`
892×	`distribute-rgt-in`
540×	`+-commutative`
518×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	15136
1	908	15034
2	3682	14964

Stop Event

1×	node limit

Counts

276 → 230

Calls

Call 1

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

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

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
	0.9b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	1.8b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.7b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))

Compiler

Compiled 130 to 18 computations (86.2% saved)

series2.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite95.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`associate-*r/`
474×	`add-sqr-sqrt`
470×	`*-un-lft-identity`
468×	`pow1`
434×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	57
1	448	57
2	5711	57

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-*r/`
1352×	`distribute-lft-in`
1198×	`distribute-rgt-in`
712×	`fma-def`
604×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	5977
1	305	5973
2	824	5849
3	2302	5843
4	6429	5843

Stop Event

1×	node limit

Counts

93 → 64

Calls

Call 1

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

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

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
✓	1.0b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))

Compiler

Compiled 148 to 21 computations (85.8% saved)

series15.0ms (0%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	0	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))
1.0ms	lambda2	@	-inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
1.0ms	R	@	inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
0.0ms	lambda2	@	inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
0.0ms	lambda1	@	inf	(.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))

rewrite102.0ms (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	189
1	518	129
2	6843	129

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify142.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1510×	`unswap-sqr`
740×	`associate-/l*`
708×	`distribute-lft-in`
696×	`distribute-rgt-in`
586×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	13639
1	723	13453
2	2878	13357

Stop Event

1×	node limit

Counts

209 → 146

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

eval341.0ms (0.9%)

Compiler: Compiled 36847 to 9624 computations (73.9% saved)

prune478.0ms (1.2%)

Pruning

91 alts after pruning (88 fresh and 3 done)

	Pruned	Kept	Total
New	1044	54	1098
Fresh	17	34	51
Picked	0	1	1
Done	2	2	4
Total	1063	91	1154

Error

3.4b

Counts

1154 → 91

Alt Table

Click to see full alt table

Status	Error	Program
	57.2b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3) 1/3)
	35.8b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	41.2b	(pow.f64 (E.f64) (log.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))))))))
	16.9b	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
	16.9b	(/.f64 R (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))))
	35.6b	(/.f64 R (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3))))
	16.8b	(+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (.f64 R (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
	16.8b	(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) 1/3) R)
	17.4b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) 3) R)
	35.8b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 3) R)
	16.8b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) R)
	35.5b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	39.4b	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R)) (sqrt.f64 R))
	16.9b	(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
	16.8b	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.8b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	35.5b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
	35.6b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) R)
	16.8b	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)
	16.9b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)) R)
	35.6b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3)) R)
▶	38.5b	(.f64 (cbrt.f64 (.f64 R R)) (.f64 (cbrt.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))))))))
▶	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	31.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	31.0b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))))))))) R)
	39.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (fabs.f64 (cos.f64 (+.f64 lambda1 (-.f64 phi1 lambda2)))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
	36.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
	37.1b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 phi1))) 2)))) R)
	37.5b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda2 phi1))) 2)))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (-.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2) (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2))) (.f64 (cos.f64 phi1) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)))))) R)
	31.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
	3.9b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (/.f64 (cos.f64 phi1) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (-.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2) (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2)))))) R)
✓	3.8b	(.f64 (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 lambda1) (sin.f64 lambda2))))))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	27.3b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
✓	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	35.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2)))))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (log1p.f64 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
	30.1b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	32.0b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (fabs.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	37.5b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	35.5b	(.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	35.3b	(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2))) 2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	17.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 3))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.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)))))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) R)
	26.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (-.f64 phi2 phi1))))))) R)
	4.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 phi1) (/.f64 (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 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))))))) R)
	28.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 phi1) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))))))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1))) R)
▶	35.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3) (cos.f64 phi1)))) R)
	50.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))) (cos.f64 phi1)))) R)
	29.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R)
	49.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1)))) R)
	50.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 -1/2 (cos.f64 lambda2)) lambda1)))) (cos.f64 phi1)))) R)
	47.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (cos.f64 phi1)))) R)
	43.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2))))) R)
	40.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)) (+.f64 1 (.f64 (.f64 phi2 phi2) -1/2))))) R)
	31.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	17.0b	(.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)
	35.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))) R)
	3.8b	(.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)
	34.7b	(.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)
	37.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
▶	16.8b	(.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)
	30.0b	(.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)
	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	43.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))) R)
	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi1) (log.f64 (exp.f64 (cos.f64 phi2))))))) R)
	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))) R)
✓	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	30.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	45.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	34.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (fabs.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	39.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
▶	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	35.8b	(.f64 (acos.f64 (+.f64 (fabs.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	35.4b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)))
	48.4b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)))
	47.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)))
	50.2b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
	51.5b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 3))
	51.6b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))

Compiler

Compiled 5278 to 3524 computations (33.2% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
✓	0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
✓	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
✓	1.0b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))

Compiler

Compiled 129 to 20 computations (84.5% saved)

series14.0ms (0%)

Counts

4 → 148

Calls

45 calls:

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

rewrite117.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`associate-*r/`
684×	`associate-*l/`
516×	`add-sqr-sqrt`
514×	`pow1`
514×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	214
1	485	154
2	6112	154

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify193.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1832×	`distribute-lft-in`
860×	`associate-r`
716×	`+-commutative`
680×	`associate-l`
676×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	431	17881
1	1153	17485
2	4438	17485

Stop Event

1×	node limit

Counts

263 → 239

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
✓	1.2b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	1.8b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series12.0ms (0%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	inf	(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
0.0ms	phi1	@	0	(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
0.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)

rewrite96.0ms (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	101
1	372	101
2	5119	101

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

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

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

simplify172.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1428×	`unswap-sqr`
1028×	`distribute-lft-in`
1008×	`distribute-rgt-in`
460×	`associate-/l*`
410×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	10843
1	806	10711
2	2765	10651

Stop Event

1×	node limit

Counts

227 → 186

Calls

Call 1

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
✓	0.6b	(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)
✓	1.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3) (cos.f64 phi1))))
	1.8b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 103 to 33 computations (68% saved)

series41.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
25.0ms	lambda1	@	0	(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)
5.0ms	lambda2	@	0	(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)
2.0ms	lambda2	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)
2.0ms	lambda2	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)
2.0ms	lambda1	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`associate-*r/`
1086×	`associate-*l/`
430×	`add-sqr-sqrt`
420×	`*-un-lft-identity`
418×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	417	67
2	5374	67

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

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

(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)

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

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

simplify151.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-+r+`
1048×	`associate-r`
980×	`associate-+l+`
870×	`+-commutative`
764×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	12662
1	1342	11674
2	5133	11318

Stop Event

1×	node limit

Counts

180 → 159

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (neg.f64 lambda1)))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (neg.f64 lambda1))) (.f64 lambda2 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 (neg.f64 lambda1)) 4)) 1/9) (sin.f64 (neg.f64 lambda1)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 (neg.f64 lambda1)) 4)) 1/9) (sin.f64 (neg.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 lambda2 lambda1)) (cos.f64 phi1)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) 1)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 1)
(.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 2) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(/.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 lambda2 lambda1)) (cos.f64 phi1)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(/.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 lambda2 lambda1)) (cos.f64 phi1)))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))))
(/.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 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(/.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 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 3)) 1) (+.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 lambda2 lambda1)) (cos.f64 phi1)))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))))
(pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))
(+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 1) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1))
(+.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1)
(-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (neg.f64 lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (neg.f64 lambda1))))
(*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
(*.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) (.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) 1) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6)) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) 3) (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2) 3) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))
(cos.f64 (-.f64 lambda2 lambda1))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(exp.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/3))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1)
(pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(cos.f64 lambda1)
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(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (pow.f64 1 1/3) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (pow.f64 1 1/3) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (pow.f64 1 1/3) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (pow.f64 1 1/3) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/9) (sin.f64 lambda2))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/9) (sin.f64 lambda2)))) lambda1) (.f64 (pow.f64 1 1/3) (cos.f64 lambda2)))
(fma.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18)) (sin.f64 lambda2)) 1) lambda1 (cos.f64 lambda2))
(fma.f64 lambda1 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18)) (sin.f64 lambda2)) (cos.f64 lambda2))
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(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18)) (sin.f64 lambda2)) 1) lambda1 (fma.f64 (fma.f64 1/3 (.f64 1 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)) (.f64 (cbrt.f64 (cos.f64 lambda2)) (fma.f64 2/3 (.f64 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 lambda2) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18)))))))) (.f64 lambda1 lambda1) (fma.f64 (fma.f64 2/9 (.f64 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (fma.f64 (cbrt.f64 (cos.f64 lambda2)) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 lambda2))) (fma.f64 2/3 (.f64 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2))) (pow.f64 (sin.f64 lambda2) 3)) (.f64 (sin.f64 lambda2) 1/6)))) (.f64 2/9 (.f64 (.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 8)) 1/18))))) (fma.f64 1/3 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2)) 1/18)) (sin.f64 lambda2)) (fma.f64 2/3 (.f64 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 lambda2) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18)))))) (.f64 -1/3 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2))) (pow.f64 (sin.f64 lambda2) 3)) (fma.f64 2/3 (.f64 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (.f64 (sin.f64 lambda2) 1/6))))))) (pow.f64 lambda1 3) (cos.f64 lambda2))))
(fma.f64 lambda1 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18)) (sin.f64 lambda2)) (fma.f64 (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (fma.f64 (cbrt.f64 (cos.f64 lambda2)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))))) (.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2))))) (.f64 lambda1 lambda1) (fma.f64 (fma.f64 2/9 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (fma.f64 (cbrt.f64 (cos.f64 lambda2)) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))) (fma.f64 2/3 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2))) (pow.f64 (sin.f64 lambda2) 3)) (.f64 (sin.f64 lambda2) 1/6))) (.f64 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 8)) 1/18))) (.f64 (sin.f64 lambda2) 2/9))) (fma.f64 1/3 (.f64 (sin.f64 lambda2) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2)) 1/18)))) (.f64 -1/3 (fma.f64 2/3 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2))) (pow.f64 (sin.f64 lambda2) 3)) (*.f64 (sin.f64 lambda2) 1/6))))))) (pow.f64 lambda1 3) (cos.f64 lambda2))))
(fma.f64 lambda1 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 lambda2) 4) 1/18)) (sin.f64 lambda2)) (fma.f64 (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (fma.f64 (cbrt.f64 (cos.f64 lambda2)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))))) (.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2))))) (.f64 lambda1 lambda1) (fma.f64 (fma.f64 2/9 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) (fma.f64 (cbrt.f64 (cos.f64 lambda2)) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2))) (pow.f64 (sin.f64 lambda2) 3)) (.f64 (sin.f64 lambda2) (+.f64 (.f64 2/3 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) 1/6))) (.f64 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 8)) 1/18))) (.f64 (sin.f64 lambda2) 2/9))) (fma.f64 1/3 (.f64 (sin.f64 lambda2) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 4)) 1/18) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 lambda2)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2)) 1/18)))) (.f64 -1/3 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 2))) (pow.f64 (sin.f64 lambda2) 3)) (.f64 (sin.f64 lambda2) (+.f64 (.f64 2/3 (.f64 (fma.f64 -1/2 (cos.f64 lambda2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18) (pow.f64 (/.f64 1 (cos.f64 lambda2)) 1/18)) (pow.f64 (sin.f64 lambda2) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 lambda2) 5)) 1/18)))) 1/6))))))) (pow.f64 lambda1 3) (cos.f64 lambda2))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (pow.f64 1 1/3))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (pow.f64 1 1/3))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (pow.f64 1 1/3))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (pow.f64 1 1/3))
(cos.f64 (-.f64 lambda2 lambda1))
(pow.f64 (cos.f64 (neg.f64 lambda1)) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (neg.f64 lambda1)) 2)) 1/9) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))))) (pow.f64 (cos.f64 (neg.f64 lambda1)) 1/3))
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(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) 1) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6)) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6))
(cos.f64 (-.f64 lambda2 lambda1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) 3) (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) 3))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2) 3) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (.f64 (sin.f64 lambda1) (sin.f64 lambda1)))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda1)) (pow.f64 (sin.f64 lambda2) 2))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (.f64 (sin.f64 lambda1) (sin.f64 lambda1)))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda1)) (pow.f64 (sin.f64 lambda2) 2))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (.f64 (sin.f64 lambda1) (sin.f64 lambda1)))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda1)) (pow.f64 (sin.f64 lambda2) 2))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2))))
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))
(fabs.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cos.f64 (-.f64 lambda2 lambda1))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(exp.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1))
(cos.f64 (-.f64 lambda2 lambda1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (-.f64 lambda2 lambda1))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1)
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 1 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1)
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/3)
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/6) 2)
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 3)
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2))
(fabs.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/3))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))))
(cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)
✓	0.7b	(log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))
✓	0.9b	(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)))))))
	1.8b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 116 to 19 computations (83.6% saved)

series14.0ms (0%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
10.0ms	phi2	@	0	(.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)
0.0ms	phi1	@	0	(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)))))))
0.0ms	lambda1	@	-inf	(.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)
0.0ms	phi2	@	inf	(.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)
0.0ms	lambda2	@	-inf	(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)))))))

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`associate-*r/`
504×	`associate-+l+`
492×	`add-sqr-sqrt`
488×	`*-un-lft-identity`
486×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	119
1	464	119
2	6139	119

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(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)))))))

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

(*.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)

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

simplify128.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1496×	`distribute-lft-in`
1488×	`distribute-rgt-in`
1448×	`unswap-sqr`
460×	`associate-+l+`
440×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	10916
1	645	10796
2	2579	10764

Stop Event

1×	node limit

Counts

214 → 140

Calls

Call 1

Inputs
(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))))
(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 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 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 (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 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(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))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (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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(-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(-.f64 (+.f64 0 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(*.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(/.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))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(/.f64 (.f64 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 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 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))
(cos.f64 (-.f64 lambda1 lambda2))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(exp.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))) 1)
(/.f64 (.f64 R (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 R (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))))
(pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 2)
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 3)
(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 2))
(log.f64 (pow.f64 (exp.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 3))
(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3) (pow.f64 R 3)))
(cbrt.f64 (.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)) 1))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 R)
	0.9b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	1.8b	(cos.f64 (-.f64 lambda1 lambda2))
✓	29.7b	(cbrt.f64 (*.f64 R R))

Compiler

Compiled 125 to 20 computations (84% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`add-sqr-sqrt`
1076×	`*-un-lft-identity`
1008×	`pow1`
1002×	`add-cube-cbrt`
990×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	131	16
2	1487	16

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 R R))
(cbrt.f64 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 (cbrt.f64 R) (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 R R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 R 1/6) (*.f64 (pow.f64 R 1/6) (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 R) (pow.f64 R 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (*.f64 (cbrt.f64 (cbrt.f64 R)) (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4))) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 R) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2)) (cbrt.f64 (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) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))))) (#(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 R) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) 3)))) (#(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))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 R)) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2)))))) (#(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 pow.f64 R 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R R) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 R R)) 1/2)))) (#(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 fabs.f64 (cbrt.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log1p.f64 (expm1.f64 (cbrt.f64 R)))))))

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/l*`
908×	`*-commutative`
888×	`associate-r`
718×	`associate-l`
624×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	917
1	159	695
2	588	473
3	2591	467
4	5392	467

Stop Event

1×	node limit

Counts

43 → 53

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) 1)
(.f64 (cbrt.f64 (.f64 R R)) 1)
(*.f64 (cbrt.f64 R) (cbrt.f64 R))
(.f64 1 (cbrt.f64 (.f64 R R)))
(.f64 (pow.f64 R 1/6) (.f64 (pow.f64 R 1/6) (cbrt.f64 R)))
(*.f64 (sqrt.f64 R) (pow.f64 R 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (.f64 (cbrt.f64 (cbrt.f64 R)) (cbrt.f64 R)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4))) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))
(.f64 (.f64 (cbrt.f64 R) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2)) (cbrt.f64 (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) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))
(pow.f64 R 2/3)
(pow.f64 (*.f64 R R) 1/3)
(pow.f64 (cbrt.f64 (*.f64 R R)) 1)
(pow.f64 (cbrt.f64 R) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) 3)
(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))))
(-.f64 (+.f64 1 (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 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 R)))
(*.f64 (cbrt.f64 (cbrt.f64 R)) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 R))
(*.f64 (pow.f64 (sqrt.f64 R) 1/3) (pow.f64 (sqrt.f64 R) 1/3))
(pow.f64 R 1/3)
(pow.f64 (*.f64 R R) 1/6)
(pow.f64 (cbrt.f64 (*.f64 R R)) 1/2)
(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)))
(fabs.f64 (cbrt.f64 R))
(log.f64 (exp.f64 (cbrt.f64 R)))
(expm1.f64 (log1p.f64 (cbrt.f64 R)))
(exp.f64 (log.f64 (cbrt.f64 R)))
(log1p.f64 (expm1.f64 (cbrt.f64 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)
(pow.f64 (cbrt.f64 R) 2)
(.f64 (cbrt.f64 (.f64 R R)) 1)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (cbrt.f64 R) 2)
(*.f64 (cbrt.f64 R) (cbrt.f64 R))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (cbrt.f64 R) 2)
(.f64 1 (cbrt.f64 (.f64 R R)))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (cbrt.f64 R) 2)
(.f64 (pow.f64 R 1/6) (.f64 (pow.f64 R 1/6) (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (cbrt.f64 R) 2)
(*.f64 (sqrt.f64 R) (pow.f64 R 1/6))
(*.f64 (pow.f64 R 1/6) (sqrt.f64 R))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (.f64 (cbrt.f64 (cbrt.f64 R)) (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (cbrt.f64 R) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4))) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(.f64 (.f64 (cbrt.f64 R) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2)) (cbrt.f64 (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(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)
(pow.f64 (cbrt.f64 R) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 R 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 R 4))))
(pow.f64 R 2/3)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(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)
(pow.f64 (cbrt.f64 R) 2)
(pow.f64 (cbrt.f64 (*.f64 R R)) 1)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (cbrt.f64 R) 2)
(pow.f64 (cbrt.f64 R) 2)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) 3)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 R R))) -1)
(+.f64 (cbrt.f64 (*.f64 R R)) 0)
(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)
(pow.f64 (cbrt.f64 R) 2)
(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)
(pow.f64 (cbrt.f64 R) 2)
(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)
(pow.f64 (cbrt.f64 R) 2)
(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)
(pow.f64 (cbrt.f64 R) 2)
(-.f64 (+.f64 1 (cbrt.f64 R)) 1)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(*.f64 (cbrt.f64 R) 1)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(*.f64 1 (cbrt.f64 R))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(*.f64 (pow.f64 R 1/6) (pow.f64 R 1/6))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2) (cbrt.f64 (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(*.f64 (cbrt.f64 (cbrt.f64 R)) (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 R)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 R 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 R))))
(*.f64 (cbrt.f64 (cbrt.f64 R)) (pow.f64 (cbrt.f64 (pow.f64 R 4)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 R))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(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)
(pow.f64 R 1/3)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(pow.f64 (*.f64 R R) 1/6)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(pow.f64 (cbrt.f64 (*.f64 R R)) 1/2)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(pow.f64 (cbrt.f64 R) 1)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(pow.f64 (pow.f64 R 1/6) 2)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(pow.f64 (cbrt.f64 (cbrt.f64 R)) 3)
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(sqrt.f64 (cbrt.f64 (*.f64 R R)))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(fabs.f64 (cbrt.f64 R))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(log.f64 (exp.f64 (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(expm1.f64 (log1p.f64 (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(exp.f64 (log.f64 (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)
(log1p.f64 (expm1.f64 (cbrt.f64 R)))
(+.f64 (+.f64 1 (cbrt.f64 R)) -1)
(+.f64 (cbrt.f64 R) 0)
(cbrt.f64 R)

eval403.0ms (1%)

Compiler: Compiled 40489 to 13189 computations (67.4% saved)

prune533.0ms (1.4%)

Pruning

115 alts after pruning (111 fresh and 4 done)

	Pruned	Kept	Total
New	1021	51	1072
Fresh	23	60	83
Picked	1	0	1
Done	3	4	7
Total	1048	115	1163

Error

3.4b

Counts

1163 → 115

Alt Table

Click to see full alt table

Status	Error	Program
	59.0b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) 3) 1/3)
▶	35.8b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	44.7b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)) 3)
	41.2b	(pow.f64 (E.f64) (log.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))))))))
	16.9b	(/.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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) R) (+.f64 (.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)))))))
	16.9b	(/.f64 R (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))))))
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	39.9b	(.f64 (pow.f64 (.f64 R R) 1/3) (.f64 (cbrt.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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	41.2b	(.f64 (pow.f64 R 2/3) (.f64 (cbrt.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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	35.5b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
	44.5b	(.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 phi1 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
	40.6b	(.f64 (.f64 (pow.f64 R 1/6) (sqrt.f64 R)) (.f64 (cbrt.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))))))))
▶	39.4b	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R)) (sqrt.f64 R))
	16.9b	(.f64 (.f64 R (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
	16.8b	(.f64 (log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) R)
	16.8b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) R)
	35.5b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	44.5b	(.f64 (log.f64 (exp.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	35.6b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	44.5b	(.f64 (expm1.f64 (log1p.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	16.8b	(.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) R)
	16.9b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 3)) R)
	44.6b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) 3)) R)
	32.2b	(.f64 (cbrt.f64 (.f64 R R)) (.f64 (cbrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))))
	32.2b	(.f64 (cbrt.f64 (.f64 R R)) (.f64 (cbrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))))
	48.1b	(.f64 (cbrt.f64 (.f64 R R)) (.f64 (cbrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 lambda2) -1/2) lambda1))))))))))
	46.5b	(.f64 (cbrt.f64 (.f64 R R)) (.f64 (cbrt.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))
✓	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	31.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
	39.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (fabs.f64 (cos.f64 (+.f64 lambda1 (-.f64 phi1 lambda2)))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
	36.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi1))) 2)))) R)
	37.1b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 phi1))) 2)))) R)
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	31.4b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
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	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
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✓	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
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	3.8b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
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	26.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 2 (+.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (-.f64 phi2 phi1))))))) R)
	4.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (/.f64 (cos.f64 phi1) (/.f64 (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 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))))))) R)
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	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 3) (cos.f64 phi1)))) R)
	29.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 3) (cos.f64 phi1)))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 3) (cos.f64 phi1)))) R)
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▶	49.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1)))) R)
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	43.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2))))) R)
	40.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)) (+.f64 1 (.f64 (.f64 phi2 phi2) -1/2))))) R)
	31.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	17.0b	(.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)
	35.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))) R)
	3.8b	(.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)
	34.7b	(.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)
	37.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
	31.4b	(.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 lambda2)))))) R)
	30.2b	(.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 lambda1)))))) R)
	30.0b	(.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)
	43.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi1) (log.f64 (exp.f64 (cos.f64 phi2))))))) R)
	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))) R)
✓	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	30.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	45.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	34.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (fabs.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	39.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	44.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 3))) R)
	49.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 (-.f64 lambda2 lambda1) phi1))))))) R)
	44.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3) (cos.f64 phi1)))) R)
	40.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R)
	52.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	53.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (cos.f64 phi1)))) R)
	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	50.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))) R)
	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	51.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
▶	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
	35.8b	(.f64 (acos.f64 (+.f64 (fabs.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	35.4b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)))
	48.4b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)))
	47.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)))
	50.2b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
	54.3b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)))
	55.7b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) 3))
	51.6b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 3) (pow.f64 R 3)))

Compiler

Compiled 6445 to 4356 computations (32.4% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1))
	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)))))) R)
✓	1.0b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1)) (.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1))))))

Compiler

Compiled 168 to 22 computations (86.9% saved)

series13.0ms (0%)

Counts

3 → 144

Calls

36 calls:

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

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`add-sqr-sqrt`
572×	`pow1`
572×	`*-un-lft-identity`
564×	`associate-+l+`
526×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	181
1	542	133
2	7200	133

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify172.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1588×	`fma-def`
1368×	`unswap-sqr`
606×	`distribute-rgt-in`
606×	`distribute-lft-in`
562×	`distribute-rgt-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	12695
1	550	12157
2	2006	12009
3	7172	12009

Stop Event

1×	node limit

Counts

197 → 122

Calls

Call 1

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

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

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 phi1 (sin.f64 phi2))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
✓	1.5b	(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
	1.8b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series7.0ms (0%)

Counts

3 → 112

Calls

33 calls:

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

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`associate-*r/`
1028×	`distribute-lft-in`
860×	`associate-*l/`
360×	`add-sqr-sqrt`
356×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	327	71
2	4422	71

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

simplify116.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

954×	`unswap-sqr`
762×	`associate-/l*`
680×	`distribute-lft-in`
652×	`distribute-rgt-in`
650×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	5760
1	441	5740
2	1614	5734
3	5939	5728

Stop Event

1×	node limit

Counts

174 → 93

Calls

Call 1

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1)))) R)
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))))

Compiler

Compiled 98 to 17 computations (82.7% saved)

series11.0ms (0%)

Counts

3 → 144

Calls

36 calls:

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

rewrite101.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	139
1	422	127
2	5670	127

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

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

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

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

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

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

simplify139.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1424×	`unswap-sqr`
1372×	`distribute-lft-in`
1370×	`distribute-rgt-in`
588×	`associate-/l*`
546×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	11737
1	668	11615
2	2616	11577

Stop Event

1×	node limit

Counts

221 → 151

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
✓	1.3b	(acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
	1.8b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 103 to 18 computations (82.5% saved)

series34.0ms (0.1%)

Counts

3 → 104

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	phi2	@	-inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
2.0ms	lambda2	@	-inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
2.0ms	phi1	@	-inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
2.0ms	lambda2	@	0	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
2.0ms	phi1	@	inf	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)

rewrite100.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`associate-*r/`
694×	`associate-*l/`
454×	`add-sqr-sqrt`
444×	`*-un-lft-identity`
442×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	139
1	445	139
2	5452	139

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.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 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1/6) (pow.f64 (*.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 R) (cbrt.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 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simplify195.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

970×	`distribute-lft-in`
950×	`distribute-rgt-in`
846×	`*-commutative`
834×	`+-commutative`
762×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	10625
1	486	10551
2	2024	10331
3	6180	10331

Stop Event

1×	node limit

Counts

195 → 128

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R)) (sqrt.f64 R))
✓	0.2b	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R))
	0.9b	(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	1.8b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 116 to 18 computations (84.5% saved)

series22.0ms (0.1%)

Counts

2 → 108

Calls

30 calls:

Time	Variable		Point	Expression
12.0ms	phi2	@	0	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R))
1.0ms	R	@	-inf	(.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R)) (sqrt.f64 R))
1.0ms	R	@	-inf	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R))
1.0ms	R	@	0	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R))
1.0ms	phi1	@	0	(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 R))

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`associate-*r/`
494×	`add-sqr-sqrt`
488×	`pow1`
488×	`*-un-lft-identity`
452×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	118
1	460	118
2	6008	118

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs

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

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

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

simplify166.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1236×	`fma-def`
728×	`associate-+r+`
678×	`associate-+l+`
662×	`unswap-sqr`
608×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	9241
1	318	9113
2	987	8865
3	3075	8851
4	7412	8851

Stop Event

1×	node limit

Counts

143 → 68

Calls

Call 1

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

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

eval268.0ms (0.7%)

Compiler: Compiled 29753 to 8008 computations (73.1% saved)

prune417.0ms (1.1%)

Pruning

137 alts after pruning (132 fresh and 5 done)

	Pruned	Kept	Total
New	887	51	938
Fresh	25	81	106
Picked	1	0	1
Done	3	5	8
Total	916	137	1053

Error

3.3b

Counts

1053 → 137

Alt Table

Click to see full alt table

Status	Error	Program
	50.4b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R) 1/3) 3)
	59.0b	(pow.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) 3) 1/3)
	35.9b	(pow.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (cbrt.f64 R)) 3)
	30.1b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	30.0b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	35.8b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))) R)) 3)
	43.6b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	45.4b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	43.8b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)) 3)
	44.7b	(pow.f64 (cbrt.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)) 3)
	50.8b	(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)) 3)
	41.2b	(pow.f64 (E.f64) (log.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))))))))
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	31.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R)
	17.0b	(.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)
	35.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))) R)
	3.8b	(.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)
	34.7b	(.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)
	37.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (sin.f64 lambda2) (.f64 (*.f64 (cos.f64 lambda2) -1/2) lambda1))))))) R)
	3.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
	31.4b	(.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 lambda2)))))) R)
	30.2b	(.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 lambda1)))))) R)
	30.0b	(.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)
	55.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)))) R)
	43.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi1) (log.f64 (exp.f64 (cos.f64 phi2))))))) R)
	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))) R)
✓	35.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	30.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
	59.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 lambda1) (+.f64 1 (.f64 (.f64 -1/2 lambda2) lambda2)))))) R)
	45.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	43.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R)
	16.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
	34.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (fabs.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) R)
	54.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R)
	51.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1)))) R)
	39.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
	53.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (+.f64 phi2 (*.f64 -1/6 (pow.f64 phi2 3)))) (cos.f64 (-.f64 lambda2 lambda1)))) R)
	44.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 3))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3))) R)
	49.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 (-.f64 lambda2 lambda1) phi1))))))) R)
	48.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) R)
	57.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))) R)
	44.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3) (cos.f64 phi1)))) R)
	40.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R)
	52.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
	50.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))) R)
	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi1)))) R)
	51.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	54.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))))) R)
	44.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R)
	56.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R)
	55.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R)
	50.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))) R)
	52.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)
	53.9b	(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)))
	35.4b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)))
	48.4b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)))
	47.0b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)))
	50.2b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)))
	54.3b	(exp.f64 (log.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)))
	55.7b	(cbrt.f64 (pow.f64 (.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) 3))
	57.5b	(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 phi1 (sin.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R) 3))

Compiler

Compiled 3667 to 2532 computations (31% saved)

regimes1.4s (3.6%)

Counts

214 → 1

Calls

Call 1

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

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

Calls

10 calls:

172.0ms	lambda1
133.0ms	(-.f64 lambda1 lambda2)
128.0ms	(.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)
127.0ms	phi1
124.0ms	lambda2

Results

Error	Segments	Branch
3.8b	1	`R`
3.8b	1	`lambda1`
3.8b	1	`lambda2`
3.8b	1	`phi1`
3.8b	1	`phi2`
3.8b	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)`
3.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
3.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
3.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
3.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5160 to 1337 computations (74.1% saved)

regimes1.1s (2.8%)

Counts

176 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

138.0ms	(cos.f64 (-.f64 lambda1 lambda2))
126.0ms	(-.f64 lambda1 lambda2)
101.0ms	phi1
94.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
93.0ms	R

Results

Error	Segments	Branch
3.8b	1	`R`
3.8b	1	`lambda1`
3.8b	1	`lambda2`
3.8b	1	`phi1`
3.8b	1	`phi2`
3.8b	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)`
3.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
3.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
3.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
3.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3503 to 970 computations (72.3% saved)

regimes1.1s (2.8%)

Counts

171 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

129.0ms	phi2
113.0ms	lambda2
106.0ms	(-.f64 lambda1 lambda2)
100.0ms	R
99.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
3.8b	1	`R`
3.8b	1	`lambda1`
3.8b	1	`lambda2`
3.8b	1	`phi1`
3.8b	1	`phi2`
3.8b	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)`
3.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
3.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
3.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
3.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3374 to 946 computations (72% saved)

regimes1.7s (4.5%)

Counts

170 → 1

Calls

Call 1

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

Outputs

(*.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)

Calls

10 calls:

768.0ms	lambda1
126.0ms	(-.f64 lambda1 lambda2)
119.0ms	phi1
106.0ms	lambda2
103.0ms	R

Results

Error	Segments	Branch
3.8b	1	`R`
3.8b	1	`lambda1`
3.8b	1	`lambda2`
3.8b	1	`phi1`
3.8b	1	`phi2`
3.8b	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)`
3.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
3.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
3.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
3.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3349 to 941 computations (71.9% saved)

regimes2.2s (5.6%)

Counts

165 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

451.0ms	lambda2
311.0ms	phi1
310.0ms	phi2
262.0ms	(-.f64 lambda1 lambda2)
249.0ms	lambda1

Results

Error	Segments	Branch
16.8b	1	`R`
14.6b	2	`lambda1`
14.5b	4	`lambda2`
10.9b	3	`phi1`
10.7b	3	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
15.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3234 to 914 computations (71.7% saved)

bsearch440.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
260.0ms	0.1257984283429867	66563.95896565978
178.0ms	-1.4877243205794367e-8	-8.256148388112116e-21

Results

209.0ms	151×	body	1024	valid
150.0ms	64×	body	512	valid
40.0ms	12×	body	2048	valid
34.0ms	77×	body	256	valid

Compiler

Compiled 1127 to 824 computations (26.9% saved)

regimes1.9s (4.8%)

Counts

134 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

410.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
312.0ms	lambda2
284.0ms	(-.f64 lambda1 lambda2)
199.0ms	phi2
152.0ms	lambda1

Results

Error	Segments	Branch
16.8b	1	`R`
14.6b	2	`lambda1`
14.5b	4	`lambda2`
16.8b	1	`phi1`
10.7b	3	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
15.8b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2574 to 800 computations (68.9% saved)

bsearch299.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
147.0ms	0.1257984283429867	66563.95896565978
151.0ms	-1.4877243205794367e-8	-8.256148388112116e-21

Results

199.0ms	169×	body	1024	valid
46.0ms	60×	body	512	valid
25.0ms	9×	body	2048	valid
23.0ms	66×	body	256	valid

Compiler

Compiled 1109 to 806 computations (27.3% saved)

regimes1.3s (3.4%)

Counts

125 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

278.0ms	lambda2
221.0ms	(-.f64 lambda1 lambda2)
217.0ms	phi2
139.0ms	lambda1
79.0ms	phi1

Results

Error	Segments	Branch
16.8b	1	`R`
14.6b	2	`lambda1`
14.5b	4	`lambda2`
16.8b	1	`phi1`
10.7b	3	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
15.8b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2379 to 743 computations (68.8% saved)

bsearch286.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
151.0ms	0.1257984283429867	66563.95896565978
134.0ms	-0.010259865210224879	-1.4877243205794367e-8

Results

197.0ms	158×	body	1024	valid
47.0ms	57×	body	512	valid
26.0ms	67×	body	256	valid
10.0ms	6×	body	2048	valid

Compiler

Compiled 1013 to 735 computations (27.4% saved)

regimes942.0ms (2.4%)

Counts

123 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

197.0ms	phi2
122.0ms	lambda1
76.0ms	phi1
73.0ms	(-.f64 lambda1 lambda2)
72.0ms	(+.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
16.8b	1	`R`
15.1b	2	`lambda1`
16.8b	1	`lambda2`
16.8b	1	`phi1`
14.9b	3	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
16.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2333 to 734 computations (68.5% saved)

bsearch208.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	1.2141910135468414e-90	1.307185055043021e-88
95.0ms	-9.789857428817601e-175	-1.7450080629887082e-175

Results

136.0ms	114×	body	1024	valid
30.0ms	45×	body	512	valid
19.0ms	8×	body	2048	valid
15.0ms	41×	body	256	valid

Compiler

Compiled 726 to 523 computations (28% saved)

regimes905.0ms (2.3%)

Counts

110 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

165.0ms	phi2
153.0ms	lambda1
107.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
67.0ms	lambda2
62.0ms	(.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
16.8b	1	`R`
15.1b	2	`lambda1`
16.8b	1	`lambda2`
16.8b	1	`phi1`
14.9b	3	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
16.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2054 to 660 computations (67.9% saved)

bsearch198.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	1.2141910135468414e-90	1.307185055043021e-88
89.0ms	-9.789857428817601e-175	-1.7450080629887082e-175

Results

127.0ms	102×	body	1024	valid
29.0ms	52×	body	512	valid
24.0ms	12×	body	2048	valid
13.0ms	42×	body	256	valid

Compiler

Compiled 714 to 511 computations (28.4% saved)

regimes513.0ms (1.3%)

Counts

81 → 1

Calls

Call 1

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

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

Calls

10 calls:

67.0ms	phi1
57.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
56.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
48.0ms	(-.f64 lambda1 lambda2)
47.0ms	phi2

Results

Error	Segments	Branch
16.8b	1	`R`
16.8b	1	`lambda1`
16.8b	1	`lambda2`
16.8b	1	`phi1`
16.8b	1	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
16.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1468 to 493 computations (66.4% saved)

regimes516.0ms (1.3%)

Counts

74 → 1

Calls

Call 1

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

82.0ms	lambda1
77.0ms	R
53.0ms	lambda2
43.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
42.0ms	(.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
16.8b	1	`R`
16.8b	1	`lambda1`
16.8b	1	`lambda2`
16.8b	1	`phi1`
16.8b	1	`phi2`
16.8b	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)`
16.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
16.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
16.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
16.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1335 to 458 computations (65.7% saved)

regimes1.0s (2.6%)

Counts

57 → 2

Calls

Call 1

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

Calls

7 calls:

239.0ms	phi2
189.0ms	(cos.f64 (-.f64 lambda1 lambda2))
168.0ms	phi1
141.0ms	R
135.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
26.7b	5	`R`
16.8b	2	`lambda1`
16.7b	2	`lambda2`
22.3b	4	`phi1`
20.4b	5	`phi2`
24.8b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
26.7b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 956 to 336 computations (64.9% saved)

bsearch128.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
127.0ms	5.249820744344809e-10	1.0736443839469067e-9

Results

109.0ms	49×	body	1024	valid
9.0ms	15×	body	512	valid
4.0ms	14×	body	256	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 262 to 194 computations (26% saved)

regimes658.0ms (1.7%)

Counts

52 → 2

Calls

Call 1

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

Calls

7 calls:

157.0ms	lambda1
118.0ms	(-.f64 lambda1 lambda2)
81.0ms	R
80.0ms	phi1
78.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
28.7b	3	`R`
26.5b	4	`lambda1`
23.0b	2	`lambda2`
23.4b	3	`phi1`
23.4b	2	`phi2`
26.4b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
27.7b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 866 to 307 computations (64.5% saved)

bsearch150.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
149.0ms	9.401873857020528	2796116.5562169654

Results

113.0ms	80×	body	1024	valid
25.0ms	34×	body	512	valid
9.0ms	30×	body	256	valid

Compiler

Compiled 419 to 312 computations (25.5% saved)

regimes649.0ms (1.7%)

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

149.0ms	R
125.0ms	lambda2
102.0ms	(cos.f64 (-.f64 lambda1 lambda2))
74.0ms	(-.f64 lambda1 lambda2)
73.0ms	lambda1

Results

Error	Segments	Branch
32.4b	5	`R`
34.2b	3	`lambda1`
32.5b	5	`lambda2`
26.3b	2	`phi1`
26.3b	2	`phi2`
33.7b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
33.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 815 to 295 computations (63.8% saved)

bsearch129.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
129.0ms	-0.00011818120467756697	-3.8832175333810785e-9

Results

83.0ms	71×	body	1024	valid
18.0ms	26×	body	512	valid
15.0ms	5×	body	2048	valid
11.0ms	26×	body	256	valid

Compiler

Compiled 432 to 312 computations (27.8% saved)

regimes440.0ms (1.1%)

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

84.0ms	R
83.0ms	lambda2
77.0ms	lambda1
63.0ms	(cos.f64 (-.f64 lambda1 lambda2))
56.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
32.6b	5	`R`
33.3b	5	`lambda1`
32.6b	5	`lambda2`
26.4b	2	`phi1`
26.3b	2	`phi2`
33.2b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
33.8b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 520 to 213 computations (59% saved)

bsearch148.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
148.0ms	4.0270487526191123e-26	4.804798831344512e-20

Results

103.0ms	88×	body	1024	valid
17.0ms	29×	body	256	valid
16.0ms	23×	body	512	valid
9.0ms	4×	body	2048	valid

Compiler

Compiled 428 to 312 computations (27.1% saved)

regimes133.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	(-.f64 lambda1 lambda2)
24.0ms	phi1
15.0ms	lambda2
15.0ms	phi2
15.0ms	R

Results

Error	Segments	Branch
35.5b	1	`R`
35.5b	1	`lambda1`
35.5b	1	`lambda2`
35.5b	1	`phi1`
35.5b	1	`phi2`
35.5b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
35.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 436 to 189 computations (56.7% saved)

regimes205.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

68.0ms	lambda1
30.0ms	phi2
27.0ms	lambda2
26.0ms	phi1
15.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
39.4b	1	`R`
35.6b	2	`lambda1`
35.6b	2	`lambda2`
38.1b	2	`phi1`
36.7b	2	`phi2`
39.4b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
39.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 420 to 186 computations (55.7% saved)

bsearch139.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
138.0ms	-2.1742163892273767e-11	-3.4335194137982407e-13

Results

104.0ms	66×	body	1024	valid
14.0ms	7×	body	2048	valid
12.0ms	17×	body	512	valid
7.0ms	22×	body	256	valid

Compiler

Compiled 312 to 234 computations (25% saved)

regimes198.0ms (0.5%)

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

51.0ms	lambda1
51.0ms	phi2
26.0ms	lambda2
23.0ms	phi1
18.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
39.4b	1	`R`
37.2b	2	`lambda1`
37.4b	2	`lambda2`
38.1b	2	`phi1`
36.8b	2	`phi2`
39.4b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
39.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 331 to 156 computations (52.9% saved)

bsearch112.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
112.0ms	1.1943382582984964e-27	4.0270487526191123e-26

Results

84.0ms	63×	body	1024	valid
11.0ms	28×	body	256	valid
10.0ms	18×	body	512	valid
5.0ms	3×	body	2048	valid

Compiler

Compiled 319 to 234 computations (26.6% saved)

regimes124.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

28.0ms	phi2
19.0ms	(-.f64 lambda1 lambda2)
18.0ms	phi1
17.0ms	R
15.0ms	lambda2

Results

Error	Segments	Branch
39.4b	1	`R`
39.4b	1	`lambda1`
39.4b	1	`lambda2`
38.1b	2	`phi1`
38.1b	2	`phi2`
39.4b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
39.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 317 to 152 computations (52.1% saved)

bsearch141.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
141.0ms	4.0270487526191123e-26	4.804798831344512e-20

Results

84.0ms	69×	body	1024	valid
20.0ms	33×	body	512	valid
19.0ms	34×	body	256	valid
16.0ms	8×	body	2048	valid

Compiler

Compiled 401 to 294 computations (26.7% saved)

regimes98.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

29.0ms	phi1
15.0ms	phi2
10.0ms	(-.f64 lambda1 lambda2)
10.0ms	R
10.0ms	lambda2

Results

Error	Segments	Branch
39.4b	1	`R`
39.4b	1	`lambda1`
39.4b	1	`lambda2`
38.1b	2	`phi1`
38.1b	2	`phi2`
39.4b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
39.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 289 to 142 computations (50.9% saved)

bsearch166.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
166.0ms	4.0270487526191123e-26	4.804798831344512e-20

Results

127.0ms	73×	body	1024	valid
21.0ms	30×	body	512	valid
12.0ms	39×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 455 to 330 computations (27.5% saved)

regimes83.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (+.f64 phi2 (*.f64 -1/6 (pow.f64 phi2 3)))) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))) R)

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

Calls

7 calls:

18.0ms	(cos.f64 (-.f64 lambda1 lambda2))
17.0ms	(-.f64 lambda1 lambda2)
14.0ms	phi1
8.0ms	R
8.0ms	lambda2

Results

Error	Segments	Branch
44.5b	1	`R`
44.5b	1	`lambda1`
44.5b	1	`lambda2`
42.2b	2	`phi1`
44.5b	1	`phi2`
42.9b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
43.1b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 212 to 110 computations (48.1% saved)

bsearch132.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
131.0ms	-2.261759998038786e+173	-9.739211278879641e+172

Results

127.0ms	78×	body	1024	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 222 to 164 computations (26.1% saved)

regimes167.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

Inputs
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (+.f64 phi2 (*.f64 -1/6 (pow.f64 phi2 3)))) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)

Outputs

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

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

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

Calls

7 calls:

53.0ms	(-.f64 lambda1 lambda2)
41.0ms	lambda2
18.0ms	phi2
18.0ms	phi1
15.0ms	lambda1

Results

Error	Segments	Branch
50.7b	1	`R`
44.5b	2	`lambda1`
44.5b	2	`lambda2`
43.8b	3	`phi1`
47.1b	3	`phi2`
47.2b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
47.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 182 to 100 computations (45.1% saved)

bsearch422.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
163.0ms	-5.595010529976715	-0.058212565255131486
259.0ms	-5.548208193457874e+102	-6.894720535560527e+97

Results

319.0ms	150×	body	1024	valid
51.0ms	75×	body	512	valid
38.0ms	9×	body	2048	valid
9.0ms	22×	body	256	valid

Compiler

Compiled 671 to 498 computations (25.8% saved)

regimes84.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (+.f64 phi2 (*.f64 -1/6 (pow.f64 phi2 3)))) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))))) R)

Outputs

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

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

Calls

7 calls:

22.0ms	lambda2
15.0ms	(-.f64 lambda1 lambda2)
11.0ms	phi1
11.0ms	phi2
10.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
50.7b	1	`R`
50.7b	1	`lambda1`
49.3b	3	`lambda2`
44.9b	2	`phi1`
48.8b	2	`phi2`
47.2b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
47.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 156 to 92 computations (41% saved)

bsearch168.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
168.0ms	-5.595010529976715	-0.058212565255131486

Results

133.0ms	63×	body	1024	valid
16.0ms	21×	body	512	valid
9.0ms	5×	body	2048	valid
7.0ms	23×	body	256	valid

Compiler

Compiled 333 to 248 computations (25.5% saved)

regimes27.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (+.f64 phi2 (*.f64 -1/6 (pow.f64 phi2 3)))) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)

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

Calls

5 calls:

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

Results

Error	Segments	Branch
50.7b	1	`R`
50.7b	1	`lambda1`
50.7b	1	`lambda2`
50.7b	1	`phi1`
50.7b	1	`phi2`

Compiler

Compiled 115 to 67 computations (41.7% saved)

regimes34.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

8.0ms	lambda2
6.0ms	lambda1
3.0ms	R
3.0ms	phi1
3.0ms	phi2

Results

Error	Segments	Branch
52.0b	1	`R`
50.7b	2	`lambda1`
50.7b	2	`lambda2`
52.0b	1	`phi1`
52.0b	1	`phi2`

Compiler

Compiled 66 to 46 computations (30.3% saved)

bsearch181.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
181.0ms	1.76682564545653e-13	5.249820744344809e-10

Results

128.0ms	78×	body	1024	valid
27.0ms	24×	body	512	valid
18.0ms	6×	body	2048	valid
6.0ms	20×	body	256	valid

Compiler

Compiled 288 to 216 computations (25% saved)

regimes29.0ms (0.1%)

Accuracy

Total -4.4b remaining (-8.5%)

Threshold costs -4.4b (-8.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	phi2
8.0ms	R
3.0ms	lambda2
3.0ms	phi1
3.0ms	lambda1

Results

Error	Segments	Branch
52.0b	1	`R`
52.0b	1	`lambda1`
52.0b	1	`lambda2`
52.0b	1	`phi1`
52.0b	1	`phi2`

Compiler

Compiled 56 to 42 computations (25% saved)

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

138×	`*-commutative`
80×	`+-commutative`
20×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	229	2982
1	337	2974
2	357	2974
3	371	2974
4	378	2974
5	379	2974

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (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 lambda1) (sin.f64 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) R)
(if (<=.f64 phi2 -8825158483186793/604462909807314587353088) (+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (.f64 R (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (if (<=.f64 phi2 1170935903116329/9007199254740992) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R) (.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) R)))
(if (<=.f64 phi2 -8825158483186793/604462909807314587353088) (+.f64 (.f64 R (.f64 (PI.f64) 1/2)) (.f64 R (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (if (<=.f64 phi2 1170935903116329/9007199254740992) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(if (<=.f64 phi2 -6611313076017503/18889465931478580854784) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi1) (log.f64 (exp.f64 (cos.f64 phi2))))))) R) (if (<=.f64 phi2 1170935903116329/9007199254740992) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(if (<=.f64 phi2 -3029745722639739/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R) (if (<=.f64 phi2 1376099169594043/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))
(if (<=.f64 phi2 -7663474474912281/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (.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 6651145986371207/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))) R) (.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 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)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(if (<=.f64 lambda2 5077488442381443/4835703278458516698824704) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda2)))) R))
(if (<=.f64 lambda2 19/2) (.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 lambda2) (cos.f64 phi1)))) R))
(if (<=.f64 phi1 -2582544170319337/73786976294838206464) (.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2))) 2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))) R))
(if (<=.f64 phi2 7975367974709495/166153499473114484112975882535043072) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))) R))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
(if (<=.f64 lambda1 -6653927711158919/309485009821345068724781056) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(if (<=.f64 phi2 1742245718635205/43556142965880123323311949751266331066368) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) R))
(if (<=.f64 phi2 7975367974709495/166153499473114484112975882535043072) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1)))))) R))
(if (<=.f64 phi2 7975367974709495/166153499473114484112975882535043072) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R))
(if (<=.f64 phi1 -107999999999999999319496864384573054730850672509693637455117150334765277906313809817465045215801005112962183613214892465953608773738316293183553033941849404870412400980918272) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R))
(if (<=.f64 phi1 -20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R) (if (<=.f64 phi1 -5404319552844595/72057594037927936) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(if (<=.f64 phi1 -1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(if (<=.f64 lambda2 5029131409596857/9671406556917033397649408) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R))
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)

Outputs
(.f64 (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 lambda1) (sin.f64 lambda2))))))) R)
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.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)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
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(if (<=.f64 phi2 -7663474474912281/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 6651145986371207/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 phi1 (sin.f64 phi2))))) (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))
(.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (acos.f64 (+.f64 (.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 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))))
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(if (<=.f64 lambda2 5077488442381443/4835703278458516698824704) (.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 lambda2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
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(if (<=.f64 lambda2 19/2) (.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 phi1) (cos.f64 lambda2))))))
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(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
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(if (<=.f64 phi2 7975367974709495/166153499473114484112975882535043072) (.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi1) phi2)))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1))))))
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(if (<=.f64 phi1 -107999999999999999319496864384573054730850672509693637455117150334765277906313809817465045215801005112962183613214892465953608773738316293183553033941849404870412400980918272) (.f64 R (acos.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(if (<=.f64 phi1 -20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R) (if (<=.f64 phi1 -5404319552844595/72057594037927936) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R)))
(if (<=.f64 phi1 -20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (.f64 R (acos.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (if (<=.f64 phi1 -5404319552844595/72057594037927936) (.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 (-.f64 lambda2 lambda1)) (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1)))))))
(if (<=.f64 phi1 -1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1) (cos.f64 (-.f64 lambda2 lambda1))))) R))
(if (<=.f64 phi1 -1/2) (.f64 R (acos.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) 1))))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 phi1 (sin.f64 phi2)))))
(if (<=.f64 lambda2 5029131409596857/9671406556917033397649408) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R))
(if (<=.f64 lambda2 5029131409596857/9671406556917033397649408) (.f64 R (acos.f64 (+.f64 (cos.f64 lambda1) (.f64 phi1 (sin.f64 phi2))))) (.f64 R (acos.f64 (+.f64 (cos.f64 lambda2) (.f64 phi1 (sin.f64 phi2))))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) R)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 phi1 phi2))))

Compiler

Compiled 1089 to 672 computations (38.3% saved)

soundness112.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1194×	`associate-r`
1062×	`associate-/l*`
1020×	`associate-l`
624×	`associate-/r*`
618×	`+-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
0	385	14312
1	1048	14170
2	4939	13870

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 208 to 79 computations (62% saved)

end262.0ms (0.7%)

Remove: (sort lambda1 lambda2)
Compiler: Compiled 1138 to 365 computations (67.9% 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