Details

analyze961.0ms (3.4%)

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)

sample8.8s (31.5%)

Results

6.8s	5697×	body	1024	valid
979.0ms	1438×	body	512	valid
661.0ms	267×	body	2048	valid
305.0ms	854×	body	256	valid
9.0ms	2×	body	1024	infinite
2.0ms	3×	body	512	infinite

Bogosity

preprocess76.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1898×	`rational.json-simplify-35`
1216×	`rational.json-simplify-41`
1126×	`rational.json-simplify-48`
862×	`rational.json-simplify-26`
838×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	671
1	178	671
2	292	671
3	464	671
4	715	671
5	1380	671
6	3177	671
7	6708	671
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 (acos.f64 (+.f64 (.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(.f64 lambda1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))))
(.f64 lambda1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 R lambda2)))))))
(.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 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))))
(.f64 lambda2 (acos.f64 (+.f64 (.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 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 R)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 R))))))
(.f64 phi1 (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 R)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 R) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 phi1 (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 R)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 R))))))
(.f64 phi1 (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 R)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (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 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 R)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 R))))))
(.f64 phi2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 R)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 R))))))
(.f64 phi2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 R)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (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 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (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 R (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 lambda1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 lambda1)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi1 lambda2)))))))
(.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 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2)))))))
(.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 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi2) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi1)))))))
(.f64 R (acos.f64 (+.f64 (.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 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 phi2)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2)))))))
(.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 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify184.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2596×	`rational.json-simplify-1`
1686×	`rational.json-simplify-35`
1270×	`rational.json-simplify-52`
1200×	`rational.json-simplify-26`
904×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	37	61
2	62	61
3	101	61
4	176	61
5	309	61
6	685	61
7	1691	61
8	4373	61
9	5453	61
10	6019	61
11	6605	61
12	7170	61
13	7954	61

Stop Event

1×	node limit

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

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

eval1.0ms (0%)

Compiler: Compiled 62 to 29 computations (53.2% 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

19.3b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	19.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

Status

Error

Program

▶

19.3b

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

▶

19.4b

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
✓	1.6b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
✓	2.7b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 99 to 17 computations (82.8% saved)

series12.0ms (0%)

Counts

4 → 132

Calls

39 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`bool.json-1`
1554×	`bool.json-2`
1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	204	142
2	555	142
3	1230	142
4	2704	142
5	5616	142

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4))) (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sin.f64 phi1) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))

simplify324.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2198×	`rational.json-simplify-2`
1694×	`rational.json-simplify-35`
1268×	`rational.json-simplify-48`
988×	`rational.json-simplify-1`
794×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	8802
1	409	8742
2	898	8672
3	1986	8622
4	3666	8622
5	4394	8622
6	5153	8622
7	6487	8622
8	7180	8622
9	7505	8622

Stop Event

1×	node limit

Counts

176 → 131

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4)))) 16)
(+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)
(+.f64 0 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)
(/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(/.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 2)) 2)
(/.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4))) (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4)))) 16)

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) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))
(+.f64 (cos.f64 lambda2) (.f64 lambda1 (.f64 (sin.f64 lambda2) 1)))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.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 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) -1/2)) (+.f64 (cos.f64 lambda2) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (.f64 (sin.f64 lambda2) 1)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.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)))))
(+.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) -1/2)) (+.f64 (cos.f64 lambda2) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) 1/6)))
(+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 1/6 (pow.f64 lambda1 3)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (.f64 (sin.f64 lambda2) 1)) (.f64 (pow.f64 lambda1 3) (.f64 (sin.f64 lambda2) -1/6)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (neg.f64 lambda1) (.f64 1/6 (pow.f64 lambda1 3))))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (neg.f64 lambda1) (.f64 1/6 (pow.f64 lambda1 3))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 lambda1) -1/2))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (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))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 lambda1) -1/2)) (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 3) (*.f64 (sin.f64 lambda1) -1/6)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (sin.f64 lambda1) (*.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3))))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.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 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (+.f64 lambda2 (.f64 -1 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2))
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) 1/2)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2))
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) 2)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 2) 2)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4) 4)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4)) 8)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4))) 16)
(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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 0)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R))
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 0)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 1)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (+.f64 R R)) 2)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (*.f64 R 4)) 4)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4))) 8)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (.f64 R 4)))) 16)
(.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 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(+.f64 0 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(-.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(/.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 2)) 2)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(/.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4)) 4)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(/.f64 (.f64 2 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) 4))) 8)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4))) (.f64 2 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 4)))) 16)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	1.6b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 97 to 17 computations (82.5% saved)

series4.0ms (0%)

Counts

2 → 108

Calls

27 calls:

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`bool.json-1`
1532×	`bool.json-2`
1502×	`rational.json-1`
1502×	`rational.json-2`
1502×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	202	116
2	541	116
3	1202	116
4	2670	116
5	5535	116

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(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)

Inputs

(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)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))))

simplify381.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1952×	`rational.json-simplify-2`
1616×	`rational.json-simplify-35`
1134×	`rational.json-simplify-1`
1096×	`rational.json-simplify-26`
782×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	7654
1	172	7622
2	361	7622
3	876	7622
4	1864	7622
5	3534	7622
6	4312	7622
7	4956	7622
8	6146	7622
9	6926	7622
10	7219	7622
11	7840	7622

Stop Event

1×	node limit

Counts

130 → 45

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))))
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(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4)))) 16)

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 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(acos.f64 (+.f64 (.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 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1/2)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4) 4)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)
(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 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)) 4)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) 8)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4)))) 16)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))

eval87.0ms (0.3%)

Compiler: Compiled 7476 to 2626 computations (64.9% saved)

prune76.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	261	10	271
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	263	10	273

Error

18.6b

Counts

273 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	36.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))))) R)
▶	36.1b	(.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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)
▶	34.8b	(.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)
	38.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1)))))))) R)
	38.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))) R)
	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
▶	32.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
▶	30.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	39.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	37.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Compiler

Compiled 604 to 428 computations (29.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
✓	2.0b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))

Compiler

Compiled 83 to 16 computations (80.7% saved)

series18.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`bool.json-1`
1720×	`bool.json-2`
1690×	`rational.json-1`
1690×	`rational.json-2`
1236×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	184	129
2	501	129
3	1114	129
4	2499	129
5	5622	129

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4))) (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))

simplify297.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2464×	`rational.json-simplify-2`
1894×	`rational.json-simplify-35`
1026×	`rational.json-simplify-26`
866×	`rational.json-simplify-1`
862×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	7243
1	322	7183
2	740	7113
3	1667	7063
4	3151	7063
5	4077	7063
6	4452	7063
7	5026	7063
8	6385	7063
9	7130	7063

Stop Event

1×	node limit

Counts

151 → 93

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (cos.f64 phi2) (cos.f64 lambda1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(*.f64 (cos.f64 phi1) (cos.f64 lambda1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1)))) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 4) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 6) (cos.f64 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 4) (cos.f64 lambda1)))) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (.f64 1/24 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 4))))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 6)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (.f64 1/24 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 4)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2))
(.f64 2 (.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 1))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 R 4)))) 16)
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 0)
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 0)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) 2))) 2)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4))) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
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(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 R 4)))) 16)
(.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 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 0)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 0)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 1)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) 2))) 2)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4)) 4)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4))) 8)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4))) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4)))) 16)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	0.2b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
✓	1.4b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series20.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`bool.json-1`
1722×	`bool.json-2`
1692×	`rational.json-1`
1692×	`rational.json-2`
1236×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	139
1	191	139
2	508	139
3	1115	139
4	2467	139
5	5575	139

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))))))

simplify285.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1934×	`rational.json-simplify-35`
1244×	`rational.json-simplify-48`
1064×	`rational.json-simplify-51`
1048×	`rational.json-simplify-1`
882×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	9883
1	457	9707
2	990	9571
3	2202	9483
4	3732	9483
5	5090	9483
6	6313	9483
7	7922	9483

Stop Event

1×	node limit

Counts

187 → 124

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
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(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(+.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(-.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(.f64 2 (.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))) 2)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2))))
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(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))
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(.f64 R (acos.f64 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.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 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.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 (+.f64 (.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 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 0 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 2 (.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 1/2)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) 2)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4) 4)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) 8)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))) 2)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) 4)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) 8)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))) 16)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.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 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
✓	2.4b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2))))

Compiler

Compiled 83 to 16 computations (80.7% saved)

series15.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`bool.json-1`
1720×	`bool.json-2`
1690×	`rational.json-1`
1690×	`rational.json-2`
1236×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	149
1	184	149
2	501	149
3	1114	149
4	2499	149
5	5622	149

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))))

simplify365.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1846×	`rational.json-simplify-2`
1842×	`rational.json-simplify-35`
1128×	`rational.json-simplify-26`
974×	`rational.json-simplify-53`
914×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	8036
1	291	8016
2	653	7956
3	1444	7916
4	2617	7916
5	3305	7916
6	3540	7916
7	3958	7916
8	5202	7916
9	5836	7916
10	6752	7916
11	7521	7916

Stop Event

1×	node limit

Counts

156 → 89

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
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(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
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(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
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(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
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(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
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(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
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(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2))
(.f64 2 (.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 4)))) 16)
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(.f64 2 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))
(.f64 2 (.f64 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))
(.f64 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
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(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 0)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 2 (.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1/2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4) 4)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4)) 8)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4))) 16)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 2 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 2 (.f64 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1/2)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4) 4)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) 8)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4))) 16)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) R)
✓	0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	2.2b	(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)))))

Compiler

Compiled 117 to 19 computations (83.8% saved)

series21.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	lambda1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	phi1	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	phi1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	lambda1	@	-inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	lambda2	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`bool.json-1`
1696×	`bool.json-2`
1666×	`rational.json-1`
1666×	`rational.json-2`
1118×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	177
1	224	177
2	593	177
3	1317	177
4	2964	177
5	6134	177

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

(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)))))

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

(*.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)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) (*.f64 2 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R))))))

simplify423.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2590×	`rational.json-simplify-2`
1644×	`rational.json-simplify-35`
1378×	`rational.json-simplify-53`
910×	`rational.json-simplify-1`
898×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	11798
1	364	11638
2	785	11488
3	1747	11406
4	3279	11406
5	4309	11406
6	4740	11406
7	5470	11406
8	6501	11406
9	6794	11406
10	7526	11406

Stop Event

1×	node limit

Counts

186 → 94

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4))) 16)
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 0)
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 0)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))) 2)
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (.f64 R 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 0)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 0)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 1)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 1/2)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 2)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 1)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 2) 2)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4) 4)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4)) 8)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) 4))) 16)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 0)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 0)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) 1)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))) 2)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))) 4)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) 16)
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (*.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)
✓	0.1b	(*.f64 lambda2 (sin.f64 lambda1))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.4b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))))

Compiler

Compiled 192 to 77 computations (59.9% saved)

series15.0ms (0.1%)

Counts

3 → 112

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	lambda1	@	inf	(.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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)
1.0ms	lambda1	@	-inf	(.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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)
0.0ms	phi2	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)
0.0ms	phi1	@	0	(.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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))) R)

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2098×	`bool.json-1`
1128×	`bool.json-2`
1106×	`rational.json-1`
1106×	`rational.json-2`
1106×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	203
1	285	203
2	736	195
3	1611	195
4	3647	195
5	7610	195

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) (*.f64 2 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 lambda2 (sin.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 lambda2 (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 lambda2 (sin.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda2 (sin.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 lambda1) (+.f64 lambda2 lambda2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 4))) (*.f64 2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 lambda2 (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 lambda2 (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 lambda2 (sin.f64 lambda1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) (*.f64 2 (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 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)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))))))

simplify543.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2474×	`rational.json-simplify-42`
2172×	`rational.json-simplify-2`
1786×	`rational.json-simplify-35`
860×	`rational.json-simplify-48`
738×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	12670
1	238	12652
2	486	12640
3	1128	12634
4	2401	12634
5	3493	12634
6	3823	12634
7	4399	12634
8	5385	12634
9	5829	12634
10	6123	12634
11	6685	12634
12	7060	12634

Stop Event

1×	node limit

Counts

142 → 60

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.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)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))))
(-.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)
(.f64 2 (/.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2))
(.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))))))) 1/2)
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))))))))
(.f64 (/.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2) 2)
(/.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))) 2)
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4) 4)
(/.f64 (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4))) 16)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) 0)
(+.f64 0 (*.f64 lambda2 (sin.f64 lambda1)))
(-.f64 (*.f64 lambda2 (sin.f64 lambda1)) 0)
(/.f64 (*.f64 lambda2 (sin.f64 lambda1)) 1)
(/.f64 (*.f64 (sin.f64 lambda1) (+.f64 lambda2 lambda2)) 2)
(/.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 lambda1) (*.f64 lambda2 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 lambda1) (.f64 lambda2 4))) (.f64 2 (.f64 (sin.f64 lambda1) (.f64 lambda2 4)))) 16)
(+.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(+.f64 0 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))
(-.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 1)
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (+.f64 R R)) 2)
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4))) (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(*.f64 lambda2 lambda1)
(+.f64 (.f64 -1/6 (.f64 lambda2 (pow.f64 lambda1 3))) (*.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 lambda1) (.f64 lambda2 (*.f64 (pow.f64 lambda1 3) -1/6)))
(.f64 lambda2 (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))
(+.f64 (.f64 1/120 (.f64 lambda2 (pow.f64 lambda1 5))) (+.f64 (.f64 -1/6 (.f64 lambda2 (pow.f64 lambda1 3))) (*.f64 lambda2 lambda1)))
(+.f64 (+.f64 (.f64 lambda2 lambda1) (.f64 lambda2 (.f64 (pow.f64 lambda1 3) -1/6))) (.f64 lambda2 (*.f64 (pow.f64 lambda1 5) 1/120)))
(+.f64 (.f64 lambda2 (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (pow.f64 lambda1 5) (.f64 1/120 lambda2)))
(.f64 lambda2 (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(+.f64 (.f64 -1/5040 (.f64 lambda2 (pow.f64 lambda1 7))) (+.f64 (.f64 1/120 (.f64 lambda2 (pow.f64 lambda1 5))) (+.f64 (.f64 -1/6 (.f64 lambda2 (pow.f64 lambda1 3))) (*.f64 lambda2 lambda1))))
(+.f64 (.f64 lambda2 (.f64 (pow.f64 lambda1 5) 1/120)) (+.f64 (+.f64 (.f64 lambda2 lambda1) (.f64 lambda2 (.f64 (pow.f64 lambda1 3) -1/6))) (.f64 lambda2 (*.f64 (pow.f64 lambda1 7) -1/5040))))
(+.f64 (.f64 lambda2 (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (+.f64 (.f64 (pow.f64 lambda1 5) (.f64 1/120 lambda2)) (.f64 lambda2 (.f64 -1/5040 (pow.f64 lambda1 7)))))
(+.f64 (.f64 lambda2 (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 lambda2 (+.f64 (.f64 -1/5040 (pow.f64 lambda1 7)) (*.f64 1/120 (pow.f64 lambda1 5)))))
(.f64 lambda2 (+.f64 (.f64 -1/5040 (pow.f64 lambda1 7)) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
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(*.f64 lambda2 (sin.f64 lambda1))
(+.f64 0 (*.f64 lambda2 (sin.f64 lambda1)))
(*.f64 lambda2 (sin.f64 lambda1))
(-.f64 (*.f64 lambda2 (sin.f64 lambda1)) 0)
(*.f64 lambda2 (sin.f64 lambda1))
(/.f64 (*.f64 lambda2 (sin.f64 lambda1)) 1)
(*.f64 lambda2 (sin.f64 lambda1))
(/.f64 (*.f64 (sin.f64 lambda1) (+.f64 lambda2 lambda2)) 2)
(*.f64 lambda2 (sin.f64 lambda1))
(/.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 4)) 4)
(*.f64 lambda2 (sin.f64 lambda1))
(/.f64 (.f64 2 (.f64 (sin.f64 lambda1) (*.f64 lambda2 4))) 8)
(*.f64 lambda2 (sin.f64 lambda1))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 lambda1) (.f64 lambda2 4))) (.f64 2 (.f64 (sin.f64 lambda1) (.f64 lambda2 4)))) 16)
(*.f64 lambda2 (sin.f64 lambda1))
(+.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(+.f64 0 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(-.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(/.f64 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(/.f64 (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))
(/.f64 (+.f64 (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4))) (.f64 2 (.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)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))

eval237.0ms (0.8%)

Compiler: Compiled 21171 to 8036 computations (62% saved)

prune222.0ms (0.8%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	663	18	681
Fresh	4	1	5
Picked	1	0	1
Done	2	2	4
Total	670	21	691

Error

18.2b

Counts

691 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
▶	36.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
✓	32.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
✓	30.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	56.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi1)))))) R)
▶	44.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	44.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
	46.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	51.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	48.0b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
	48.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))))) R)
	48.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1)))))))) R)
	48.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))) R)
	48.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
	45.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	44.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	41.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
▶	47.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	44.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
▶	47.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)

Compiler

Compiled 956 to 686 computations (28.2% saved)

localize67.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
	0.1b	(*.f64 lambda2 (sin.f64 lambda1))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.4b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))))))

Compiler

Compiled 185 to 86 computations (53.5% saved)

series15.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	inf	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))))))
0.0ms	lambda1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
0.0ms	phi2	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`bool.json-1`
1970×	`bool.json-2`
1024×	`rational.json-1`
1024×	`rational.json-2`
1024×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	184
1	296	184
2	740	184
3	1557	184
4	3451	184
5	7119	184

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))))))

simplify522.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1666×	`rational.json-simplify-2`
1650×	`rational.json-simplify-35`
1496×	`rational.json-simplify-53`
1020×	`rational.json-simplify-1`
906×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	11978
1	180	11978
2	315	11978
3	737	11978
4	1642	11978
5	3096	11978
6	3767	11978
7	4380	11978
8	5308	11978
9	5762	11978
10	6036	11978
11	7387	11978
12	7764	11978

Stop Event

1×	node limit

Counts

130 → 34

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda1) (-.f64 1 (.f64 1/2 (pow.f64 lambda2 2)))) (.f64 lambda2 (sin.f64 lambda1))) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda1) (-.f64 1 (.f64 1/2 (pow.f64 lambda2 2)))) (.f64 lambda2 (sin.f64 lambda1))) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda1) (-.f64 1 (.f64 1/2 (pow.f64 lambda2 2)))) (.f64 lambda2 (sin.f64 lambda1))) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda1) (-.f64 1 (.f64 1/2 (pow.f64 lambda2 2)))) (.f64 lambda2 (sin.f64 lambda1))) (cos.f64 phi1))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 lambda1) (-.f64 1 (.f64 1/2 (pow.f64 lambda2 2)))) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 0)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)
(.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))))))) 1/2)
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))))))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 1)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2))))))))) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) 4) 4)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) 8)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) 4))) 16)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 0)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R) 1)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) R)) 2)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)) 4)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (*.f64 R 4))) 8)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))))))) (.f64 R 4)))) 16)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 lambda2)
✓	0.1b	(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
✓	0.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
✓	2.7b	(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series4.0ms (0%)

Counts

4 → 12

Calls

24 calls:

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

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`bool.json-1`
1546×	`bool.json-2`
1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	110	64
2	302	64
3	653	64
4	1411	64
5	3175	64
6	6240	64

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8)) (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 1/2)) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8)) (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 1/2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8)) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 lambda2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 lambda2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 lambda2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 lambda2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 lambda2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 lambda2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 lambda2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 lambda2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 lambda2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 lambda2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 lambda2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 lambda2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 lambda2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 lambda2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 lambda2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 lambda2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 lambda2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 lambda2) 8)) (.f64 2 (*.f64 (cos.f64 lambda2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 lambda2) (cos.f64 lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 lambda2) (cos.f64 lambda2))))))

simplify453.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2538×	`rational.json-simplify-35`
2432×	`rational.json-simplify-2`
1592×	`rational.json-simplify-1`
1122×	`rational.json-simplify-51`
944×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1368
1	329	1368
2	927	1356
3	2036	1308
4	3839	1308
5	4317	1308
6	4457	1308
7	4578	1308
8	4739	1308
9	4937	1308
10	5845	1308
11	6345	1308
12	6566	1308
13	6630	1308
14	6658	1308
15	6658	1308
16	7563	1308
17	7891	1308

Stop Event

1×	node limit

Counts

72 → 104

Calls

Call 1

Inputs
(cos.f64 lambda2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda2))) (cos.f64 lambda2))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (cos.f64 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda2))) (cos.f64 lambda2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (cos.f64 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda2))) (+.f64 (cos.f64 lambda2) (.f64 -1/720 (.f64 (pow.f64 phi1 6) (cos.f64 lambda2))))))
(cos.f64 phi1)
(+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi1))) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi1)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi1))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi1))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))
(+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (+.f64 1 (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(+.f64 0 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(-.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(.f64 1 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(.f64 2 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))
(.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2))
(.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) 2)
(.f64 1/4 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))
(.f64 (/.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)
(/.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 2)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8) 8)
(/.f64 (.f64 2 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8)) (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8))) 32)
(+.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 0)
(+.f64 0 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R))
(+.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 1/2)) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 1/2)))
(-.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 0)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 1)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 R 4)) 4)
(/.f64 (.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8)) (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8))) 32)
(+.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 0)
(+.f64 0 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 1/2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 1/2)))
(-.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 0)
(/.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 2)) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8)) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8))) 32)
(+.f64 (cos.f64 lambda2) 0)
(+.f64 0 (cos.f64 lambda2))
(+.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 lambda2) 1/2))
(-.f64 (cos.f64 lambda2) 0)
(*.f64 (cos.f64 lambda2) 1)
(*.f64 1 (cos.f64 lambda2))
(.f64 2 (.f64 (cos.f64 lambda2) 1/2))
(.f64 (.f64 (cos.f64 lambda2) 2) 1/2)
(*.f64 4 (/.f64 (cos.f64 lambda2) 4))
(.f64 (.f64 (cos.f64 lambda2) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 lambda2) 2))
(.f64 (.f64 (cos.f64 lambda2) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 lambda2) 4))
(*.f64 (/.f64 (cos.f64 lambda2) 4) 4)
(/.f64 (cos.f64 lambda2) 1)
(/.f64 (*.f64 (cos.f64 lambda2) 2) 2)
(/.f64 (*.f64 (cos.f64 lambda2) 4) 4)
(/.f64 (*.f64 (cos.f64 lambda2) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 lambda2) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 lambda2) 8)) (.f64 2 (.f64 (cos.f64 lambda2) 8))) 32)

Outputs
(cos.f64 lambda2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda2))) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi1 2))))
(+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi1 2))))
(.f64 (cos.f64 lambda2) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (cos.f64 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda2))) (cos.f64 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi1 2))) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi1 4)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi1 2))) (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi1 4) 1/24))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi1 2))) (.f64 (cos.f64 lambda2) (+.f64 1 (.f64 1/24 (pow.f64 phi1 4)))))
(.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 1 (*.f64 1/24 (pow.f64 phi1 4)))))
(.f64 (cos.f64 lambda2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (cos.f64 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda2))) (+.f64 (cos.f64 lambda2) (.f64 -1/720 (.f64 (pow.f64 phi1 6) (cos.f64 lambda2))))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi1 4))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/720 (.f64 (cos.f64 lambda2) (pow.f64 phi1 6))) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi1 2))))))
(+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi1 4) 1/24)) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 -1/720 (pow.f64 phi1 6))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi1 2))) (+.f64 (.f64 -1/720 (.f64 (cos.f64 lambda2) (pow.f64 phi1 6))) (.f64 (cos.f64 lambda2) (+.f64 1 (.f64 1/24 (pow.f64 phi1 4))))))
(+.f64 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) -1/2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 -1/720 (pow.f64 phi1 6))))))
(+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi1 2))) (.f64 (cos.f64 lambda2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 -1/720 (pow.f64 phi1 6))))))
(cos.f64 phi1)
(+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))
(+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda2 2))))
(.f64 (cos.f64 phi1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi1))) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi1)))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda2 2)))) (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda2 4))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda2 4))) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (*.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi1))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi1))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))))
(+.f64 (cos.f64 phi1) (+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda2 2))) (.f64 (pow.f64 lambda2 6) (.f64 (cos.f64 phi1) -1/720))) (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda2 4)))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda2 4))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda2 2))) (.f64 (cos.f64 phi1) (.f64 -1/720 (pow.f64 lambda2 6))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda2 2))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi1) (.f64 -1/720 (pow.f64 lambda2 6)))) (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda2 4)))))
(+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 -1/720 (pow.f64 lambda2 6)))) (.f64 (cos.f64 phi1) (+.f64 1 (*.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 (.f64 (cos.f64 phi1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2)))) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (*.f64 -1/720 (pow.f64 lambda2 6)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))
(+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 1/24 (pow.f64 lambda2 4))))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 1/24 (pow.f64 lambda2 4)))
(+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (+.f64 1 (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 -1/720 (pow.f64 lambda2 6))) (*.f64 1/24 (pow.f64 lambda2 4))))
(+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (*.f64 -1/720 (pow.f64 lambda2 6)))))
(+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (+.f64 (+.f64 1 (.f64 -1/720 (pow.f64 lambda2 6))) (*.f64 1/24 (pow.f64 lambda2 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (*.f64 -1/720 (pow.f64 lambda2 6)))))
(+.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 0 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(-.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 1 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 2 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 1/2)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 4 (/.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 1/4)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 1/2 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) 2)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 1/4 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(.f64 (/.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(/.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 2)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8) 8)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(/.f64 (.f64 2 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8)) 16)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8)) (.f64 2 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 8))) 32)
(acos.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 0)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(+.f64 0 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R))
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(+.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 1/2)) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (.f64 R 1/2)))
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(-.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 0)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 1)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (+.f64 R R)) 2)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(/.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) (*.f64 R 4)) 4)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(/.f64 (.f64 (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8) 8)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(/.f64 (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8)) 16)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8)) (.f64 2 (.f64 (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) 8))) 32)
(.f64 (acos.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1))) R)
(+.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 0)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(+.f64 0 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 1/2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 1/2)))
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(-.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 0)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(/.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 1)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 2)) 2)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)) 4)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8) 8)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8)) 16)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8)) (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) 8))) 32)
(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
(+.f64 (cos.f64 lambda2) 0)
(cos.f64 lambda2)
(+.f64 0 (cos.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 lambda2) 1/2))
(cos.f64 lambda2)
(-.f64 (cos.f64 lambda2) 0)
(cos.f64 lambda2)
(*.f64 (cos.f64 lambda2) 1)
(cos.f64 lambda2)
(*.f64 1 (cos.f64 lambda2))
(cos.f64 lambda2)
(.f64 2 (.f64 (cos.f64 lambda2) 1/2))
(cos.f64 lambda2)
(.f64 (.f64 (cos.f64 lambda2) 2) 1/2)
(cos.f64 lambda2)
(*.f64 4 (/.f64 (cos.f64 lambda2) 4))
(cos.f64 lambda2)
(.f64 (.f64 (cos.f64 lambda2) 4) 1/4)
(cos.f64 lambda2)
(.f64 1/2 (.f64 (cos.f64 lambda2) 2))
(cos.f64 lambda2)
(.f64 (.f64 (cos.f64 lambda2) 1/2) 2)
(cos.f64 lambda2)
(.f64 1/4 (.f64 (cos.f64 lambda2) 4))
(cos.f64 lambda2)
(*.f64 (/.f64 (cos.f64 lambda2) 4) 4)
(cos.f64 lambda2)
(/.f64 (cos.f64 lambda2) 1)
(cos.f64 lambda2)
(/.f64 (*.f64 (cos.f64 lambda2) 2) 2)
(cos.f64 lambda2)
(/.f64 (*.f64 (cos.f64 lambda2) 4) 4)
(cos.f64 lambda2)
(/.f64 (*.f64 (cos.f64 lambda2) 8) 8)
(cos.f64 lambda2)
(/.f64 (.f64 2 (.f64 (cos.f64 lambda2) 8)) 16)
(cos.f64 lambda2)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 lambda2) 8)) (.f64 2 (.f64 (cos.f64 lambda2) 8))) 32)
(cos.f64 lambda2)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
✓	1.8b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series15.0ms (0.1%)

Counts

3 → 128

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	lambda1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	lambda2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
0.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`bool.json-1`
1462×	`bool.json-2`
1428×	`rational.json-1`
1428×	`rational.json-2`
1428×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	109
1	170	109
2	450	109
3	968	109
4	2110	109
5	4925	109

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) 4))) (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))

simplify288.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2484×	`rational.json-simplify-2`
1596×	`rational.json-simplify-35`
1208×	`rational.json-simplify-48`
826×	`rational.json-simplify-1`
816×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	7062
1	344	7002
2	767	6908
3	1678	6866
4	3175	6866
5	4369	6866
6	5267	6866
7	6758	6866
8	7180	6866
9	7471	6866

Stop Event

1×	node limit

Counts

160 → 96

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))) R)
(*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1))
(*.f64 (cos.f64 phi1) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 2))) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 6))) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 4))))))
(+.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(-.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1/2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (.f64 R 4)))) 16)
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 0)
(+.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
(-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 0)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 1)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) 2)) 2)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) 4))) (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
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(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) 4))) (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) 4)))) 16)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
	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 phi2) (cos.f64 phi1)))) R)
✓	2.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`bool.json-1`
1428×	`bool.json-2`
1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	119
1	154	119
2	424	119
3	931	119
4	2065	119
5	4828	119

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))

simplify350.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2070×	`rational.json-simplify-2`
1756×	`rational.json-simplify-35`
1234×	`rational.json-simplify-26`
1198×	`rational.json-simplify-53`
836×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	4978
1	225	4978
2	545	4978
3	1280	4958
4	2401	4958
5	3406	4958
6	3627	4958
7	4017	4958
8	5252	4958
9	5862	4958
10	6286	4958
11	7312	4958
12	7881	4958

Stop Event

1×	node limit

Counts

124 → 73

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2)))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1/2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 1/2)))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4)))) 16)
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1/2))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1/2) 2)
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1/2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) 1/2)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 4 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4) 1/4)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1/2) 2)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) 2)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 4) 4)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4)) 8)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 4))) 16)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
	0.1b	(*.f64 lambda2 (sin.f64 lambda1))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.4b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))))

Compiler

Compiled 98 to 17 computations (82.7% saved)

series24.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
17.0ms	lambda2	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
0.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
0.0ms	phi2	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
0.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
0.0ms	phi2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`bool.json-1`
1548×	`bool.json-2`
1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	203	116
2	535	116
3	1170	116
4	2607	116
5	5472	116

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R))))))

simplify418.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1940×	`rational.json-simplify-42`
1924×	`rational.json-simplify-1`
1880×	`rational.json-simplify-2`
1648×	`rational.json-simplify-35`
706×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	7613
1	130	7613
2	287	7613
3	762	7613
4	1670	7613
5	3161	7613
6	3791	7613
7	4358	7613
8	5143	7613
9	5548	7613
10	5830	7613
11	6632	7613
12	7541	7613

Stop Event

1×	node limit

Counts

131 → 26

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (.f64 R 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
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(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (*.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))

eval196.0ms (0.7%)

Compiler: Compiled 14290 to 6267 computations (56.1% saved)

prune177.0ms (0.6%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	545	11	556
Fresh	3	11	14
Picked	1	0	1
Done	1	5	6
Total	550	27	577

Error

18.2b

Counts

577 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
✓	32.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
✓	30.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	56.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi1)))))) R)
✓	44.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	44.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
▶	46.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	51.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	48.0b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
▶	50.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
	56.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (*.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1))))) (cos.f64 phi1)))) R)
	56.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))))) (cos.f64 phi1)))) R)
	55.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi1)))) R)
	48.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
	48.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))))) R)
	45.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	44.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	41.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
✓	47.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	52.5b	(.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)) (cos.f64 (-.f64 lambda1 lambda2)))) R)
	55.9b	(.f64 (acos.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) R)
	44.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
✓	47.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
	52.6b	(*.f64 (acos.f64 (cos.f64 phi2)) R)
	54.9b	(*.f64 (acos.f64 (cos.f64 phi1)) R)
▶	53.3b	(*.f64 (acos.f64 (cos.f64 lambda2)) R)

Compiler

Compiled 1042 to 752 computations (27.8% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	2.0b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))

Compiler

Compiled 117 to 19 computations (83.8% saved)

series20.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`bool.json-1`
1696×	`bool.json-2`
1666×	`rational.json-1`
1666×	`rational.json-2`
1118×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	177
1	224	177
2	593	177
3	1317	177
4	2964	177
5	6137	177

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

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

(*.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 (sin.f64 lambda2)))))) R)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) (*.f64 2 (*.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))))

simplify436.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2590×	`rational.json-simplify-2`
1912×	`rational.json-simplify-35`
1394×	`rational.json-simplify-53`
898×	`rational.json-simplify-48`
896×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	11798
1	356	11738
2	797	11624
3	1754	11478
4	3266	11478
5	4313	11478
6	4725	11478
7	5441	11478
8	6459	11478
9	7007	11478
10	7744	11478

Stop Event

1×	node limit

Counts

186 → 89

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 phi2) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))
(+.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 (.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 (.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 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))
(+.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 (.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 (.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 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (.f64 R 4)))) 16)
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 0)
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 0)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(+.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 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(+.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 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 0)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 0)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 1)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 2) 1/2)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 2))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 2)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 2) 2)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) 4) 4)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4)) 8)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4))) 16)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (*.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 0)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 0)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) 1)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2))) 2)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(/.f64 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))) 4)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) 16)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 lambda2)
✓	0.1b	(*.f64 (acos.f64 (cos.f64 lambda2)) R)
✓	2.2b	(acos.f64 (cos.f64 lambda2))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`rational.json-simplify-35`
1348×	`bool.json-1`
1348×	`bool.json-2`
1296×	`rational.json-1`
1296×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	80	24
2	229	24
3	498	24
4	1052	24
5	2321	24
6	4979	24

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (cos.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 1/2) (*.f64 (acos.f64 (cos.f64 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (cos.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (cos.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (cos.f64 lambda2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (cos.f64 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (cos.f64 lambda2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (cos.f64 lambda2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (cos.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (cos.f64 lambda2)) (acos.f64 (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (cos.f64 lambda2)) (acos.f64 (cos.f64 lambda2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (cos.f64 lambda2)) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) (*.f64 R 1/2)) (*.f64 (acos.f64 (cos.f64 lambda2)) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (cos.f64 lambda2)) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (cos.f64 lambda2)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (cos.f64 lambda2)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R))))))

simplify468.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2152×	`rational.json-simplify-2`
1802×	`rational.json-simplify-35`
1562×	`rational.json-simplify-1`
1004×	`rational.json-simplify-41`
728×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	534
1	144	534
2	444	534
3	1398	534
4	2833	534
5	3882	534
6	4040	534
7	4164	534
8	4288	534
9	4432	534
10	5092	534
11	5906	534
12	6713	534
13	7048	534
14	7304	534
15	7405	534
16	7493	534
17	7574	534
18	7979	534

Stop Event

1×	node limit

Counts

68 → 36

Calls

Call 1

Inputs
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(+.f64 (acos.f64 (cos.f64 lambda2)) 0)
(+.f64 0 (acos.f64 (cos.f64 lambda2)))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 1/2) (.f64 (acos.f64 (cos.f64 lambda2)) 1/2))
(-.f64 (acos.f64 (cos.f64 lambda2)) 0)
(*.f64 (acos.f64 (cos.f64 lambda2)) 1)
(*.f64 1 (acos.f64 (cos.f64 lambda2)))
(.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 1/2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 2) 1/2)
(*.f64 4 (/.f64 (acos.f64 (cos.f64 lambda2)) 4))
(.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (cos.f64 lambda2)) 2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 1/2) 2)
(.f64 1/4 (.f64 (acos.f64 (cos.f64 lambda2)) 4))
(*.f64 (/.f64 (acos.f64 (cos.f64 lambda2)) 4) 4)
(/.f64 (acos.f64 (cos.f64 lambda2)) 1)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 2) 2)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 4) 4)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 8) 8)
(/.f64 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 8))) (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 8)))) 64)
(+.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 0)
(+.f64 0 (*.f64 (acos.f64 (cos.f64 lambda2)) R))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda2)) (.f64 R 1/2)) (.f64 (acos.f64 (cos.f64 lambda2)) (.f64 R 1/2)))
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 0)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 1)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (cos.f64 lambda2)) (.f64 R 4)) 4)
(/.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8)))) 64)

Outputs
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
lambda2
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(*.f64 lambda2 R)
(+.f64 (acos.f64 (cos.f64 lambda2)) 0)
(acos.f64 (cos.f64 lambda2))
(+.f64 0 (acos.f64 (cos.f64 lambda2)))
(acos.f64 (cos.f64 lambda2))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 1/2) (.f64 (acos.f64 (cos.f64 lambda2)) 1/2))
(acos.f64 (cos.f64 lambda2))
(-.f64 (acos.f64 (cos.f64 lambda2)) 0)
(acos.f64 (cos.f64 lambda2))
(*.f64 (acos.f64 (cos.f64 lambda2)) 1)
(acos.f64 (cos.f64 lambda2))
(*.f64 1 (acos.f64 (cos.f64 lambda2)))
(acos.f64 (cos.f64 lambda2))
(.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 1/2))
(acos.f64 (cos.f64 lambda2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 2) 1/2)
(acos.f64 (cos.f64 lambda2))
(*.f64 4 (/.f64 (acos.f64 (cos.f64 lambda2)) 4))
(acos.f64 (cos.f64 lambda2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 4) 1/4)
(acos.f64 (cos.f64 lambda2))
(.f64 1/2 (.f64 (acos.f64 (cos.f64 lambda2)) 2))
(acos.f64 (cos.f64 lambda2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda2)) 1/2) 2)
(acos.f64 (cos.f64 lambda2))
(.f64 1/4 (.f64 (acos.f64 (cos.f64 lambda2)) 4))
(acos.f64 (cos.f64 lambda2))
(*.f64 (/.f64 (acos.f64 (cos.f64 lambda2)) 4) 4)
(acos.f64 (cos.f64 lambda2))
(/.f64 (acos.f64 (cos.f64 lambda2)) 1)
(acos.f64 (cos.f64 lambda2))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 2) 2)
(acos.f64 (cos.f64 lambda2))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 4) 4)
(acos.f64 (cos.f64 lambda2))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) 8) 8)
(acos.f64 (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 8)) 16)
(acos.f64 (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda2)) 8))) 32)
(acos.f64 (cos.f64 lambda2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 8))) (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda2)) 8)))) 64)
(acos.f64 (cos.f64 lambda2))
(+.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 0)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(+.f64 0 (*.f64 (acos.f64 (cos.f64 lambda2)) R))
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda2)) (.f64 R 1/2)) (.f64 (acos.f64 (cos.f64 lambda2)) (.f64 R 1/2)))
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 0)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 1)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) (+.f64 R R)) 2)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (.f64 (acos.f64 (cos.f64 lambda2)) (.f64 R 4)) 4)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8) 8)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (.f64 2 (.f64 (*.f64 (acos.f64 (cos.f64 lambda2)) R) 8)) 16)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8))) 32)
(*.f64 R (acos.f64 (cos.f64 lambda2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda2)) R) 8)))) 64)
(*.f64 R (acos.f64 (cos.f64 lambda2)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R)
✓	0.1b	(*.f64 phi1 (sin.f64 phi2))
✓	1.5b	(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))

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

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`bool.json-1`
1276×	`bool.json-2`
1242×	`rational.json-1`
1242×	`rational.json-2`
1242×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	149	79
2	396	79
3	849	79
4	1826	79
5	4228	79

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 phi1 (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 phi1 (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 phi1 (*.f64 (sin.f64 phi2) 1/2)) (*.f64 phi1 (*.f64 (sin.f64 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 phi1 (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 phi1 (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 phi1 (*.f64 (sin.f64 phi2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4)))) (*.f64 2 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 phi1 (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 phi1 (sin.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 phi1 (sin.f64 phi2)) (*.f64 phi1 (sin.f64 phi2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R))))))

simplify244.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2204×	`rational.json-simplify-2`
1872×	`rational.json-simplify-35`
1404×	`rational.json-simplify-53`
1310×	`rational.json-simplify-48`
1014×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	5028
1	267	4994
2	672	4982
3	1697	4976
4	3473	4976
5	4007	4976
6	4266	4976
7	4586	4976
8	5285	4976
9	6405	4976

Stop Event

1×	node limit

Counts

152 → 70

Calls

Call 1

Inputs
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 phi1 (sin.f64 phi2))))
(*.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 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(+.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2))
(-.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2) 2)
(.f64 1/4 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 4)
(/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)))) 32)
(+.f64 (*.f64 phi1 (sin.f64 phi2)) 0)
(+.f64 0 (*.f64 phi1 (sin.f64 phi2)))
(+.f64 (.f64 phi1 (.f64 (sin.f64 phi2) 1/2)) (.f64 phi1 (.f64 (sin.f64 phi2) 1/2)))
(-.f64 (*.f64 phi1 (sin.f64 phi2)) 0)
(/.f64 (*.f64 phi1 (sin.f64 phi2)) 1)
(/.f64 (.f64 phi1 (.f64 (sin.f64 phi2) 2)) 2)
(/.f64 (.f64 phi1 (.f64 (sin.f64 phi2) 4)) 4)
(/.f64 (.f64 2 (.f64 phi1 (*.f64 (sin.f64 phi2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4))))) 32)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 1/2)))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 4)))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 4))))) 32)

Outputs
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
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(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 1/4)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2) 2)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 1/4 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 4)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(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 lambda1 lambda2)))) 1)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4) 4)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)) 8)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))) 16)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)))) 32)
(acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 (*.f64 phi1 (sin.f64 phi2)) 0)
(*.f64 phi1 (sin.f64 phi2))
(+.f64 0 (*.f64 phi1 (sin.f64 phi2)))
(*.f64 phi1 (sin.f64 phi2))
(+.f64 (.f64 phi1 (.f64 (sin.f64 phi2) 1/2)) (.f64 phi1 (.f64 (sin.f64 phi2) 1/2)))
(*.f64 phi1 (sin.f64 phi2))
(-.f64 (*.f64 phi1 (sin.f64 phi2)) 0)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (*.f64 phi1 (sin.f64 phi2)) 1)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (.f64 phi1 (.f64 (sin.f64 phi2) 2)) 2)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (.f64 phi1 (.f64 (sin.f64 phi2) 4)) 4)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (.f64 2 (.f64 phi1 (*.f64 (sin.f64 phi2) 4))) 8)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4)))) 16)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4))))) 32)
(*.f64 phi1 (sin.f64 phi2))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 0)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 1/2)))
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 0)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R) 1)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 4)))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 R 4))))) 32)
(.f64 R (acos.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
	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 phi1) (cos.f64 lambda1)))) R)
✓	2.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))

Compiler

Compiled 64 to 14 computations (78.1% saved)

series7.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`bool.json-1`
1466×	`bool.json-2`
1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	119
1	163	119
2	443	119
3	967	119
4	2140	119
5	4988	119

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4))) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))))

simplify387.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational.json-simplify-2`
1744×	`rational.json-simplify-35`
1392×	`rational.json-simplify-53`
1084×	`rational.json-simplify-26`
966×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	6490
1	276	6480
2	642	6450
3	1411	6420
4	2592	6420
5	3531	6420
6	3732	6420
7	4070	6420
8	5082	6420
9	5622	6420
10	6024	6420
11	6939	6420
12	7743	6420

Stop Event

1×	node limit

Counts

158 → 84

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 phi1 (sin.f64 phi2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(*.f64 (cos.f64 phi1) (cos.f64 lambda1))
(+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 phi1) phi2) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 1/120 (.f64 (sin.f64 phi1) (pow.f64 phi2 5))))))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda1 4))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 lambda1 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda1 4))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))) 16)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4)))) 16)
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1/2))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1/2) 2)
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
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(+.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda1 4))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) -1/2)) (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 4) 1/24)) (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 1/24 (pow.f64 lambda1 4))))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi1) (.f64 1/24 (pow.f64 lambda1 4))) (.f64 (cos.f64 phi1) (*.f64 -1/2 (pow.f64 lambda1 2))))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (.f64 -1/2 (pow.f64 lambda1 2))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 lambda1 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 lambda1 4))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) -1/2)) (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 6) -1/720)) (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 4) 1/24)) (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 lambda1 6))) (.f64 (cos.f64 phi1) (*.f64 1/24 (pow.f64 lambda1 4)))))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (.f64 -1/720 (pow.f64 lambda1 6)))))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/720 (pow.f64 lambda1 6)) (*.f64 1/24 (pow.f64 lambda1 4)))))))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 0)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 0)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2) 1/2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4) 1/4)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 2) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4) 4)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)) 8)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))) 16)
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4))) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1/2))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) 1/2)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 4 (/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4) 1/4)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1/2) 2)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) 2)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4) 4)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)) 8)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))) 16)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
	0.1b	(*.f64 phi1 (sin.f64 phi2))
	0.1b	(*.f64 lambda2 (sin.f64 lambda1))
✓	1.3b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))))

Compiler

Compiled 92 to 16 computations (82.6% saved)

series4.0ms (0%)

Counts

2 → 68

Calls

21 calls:

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

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`bool.json-1`
1576×	`bool.json-2`
1542×	`rational.json-1`
1542×	`rational.json-2`
1542×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	173	82
2	463	82
3	1008	82
4	2248	82
5	5287	82

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 4))) (*.f64 2 (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))))

simplify312.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2178×	`rational.json-simplify-2`
1652×	`rational.json-simplify-35`
1108×	`rational.json-simplify-26`
838×	`rational.json-simplify-42`
740×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	4542
1	226	4352
2	488	4300
3	1021	4264
4	2243	4264
5	3103	4264
6	3630	4264
7	4250	4264
8	5616	4264
9	6248	4264
10	6694	4264
11	7068	4264
12	7724	4264

Stop Event

1×	node limit

Counts

92 → 62

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(*.f64 (cos.f64 phi2) (cos.f64 lambda1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (.f64 lambda2 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda1)) (.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 2))))))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 2))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 4))) (cos.f64 lambda1))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 6))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 4))) (cos.f64 lambda1)))))
(+.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))
(-.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1/2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))) 16)
(+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 0)
(+.f64 0 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))
(-.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 0)
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 1)
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 2)) 2)
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) 4))) (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) 4)))) 16)

Outputs
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(*.f64 (cos.f64 phi2) (cos.f64 lambda1))
(*.f64 (cos.f64 lambda1) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))
(.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))
(.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 lambda1 (cos.f64 phi2))))
(+.f64 (cos.f64 phi2) (.f64 lambda1 (.f64 lambda2 (cos.f64 phi2))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (.f64 lambda1 (cos.f64 phi2))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 2) -1/2))))
(+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 lambda1) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (.f64 lambda2 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda1)) (.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 2))))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (.f64 lambda1 (cos.f64 phi2))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 2) -1/2)) (.f64 lambda2 (.f64 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) -1/6)))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 lambda1) (.f64 -1/2 (pow.f64 lambda1 2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (pow.f64 lambda1 3)) -1/6)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 lambda1) (.f64 -1/6 (.f64 lambda2 (pow.f64 lambda1 3)))))))
(+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda1 3) (.f64 lambda2 -1/6)) (+.f64 (.f64 lambda2 lambda1) (*.f64 -1/2 (pow.f64 lambda1 2))))))
(+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (.f64 -1/6 (pow.f64 lambda1 3))) (+.f64 (.f64 lambda2 lambda1) (*.f64 -1/2 (pow.f64 lambda1 2))))))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 2))) (cos.f64 lambda1)))
(+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (pow.f64 phi2 2) -1/2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
(+.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 -1/2 (pow.f64 phi2 2))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 4))) (cos.f64 lambda1))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (pow.f64 phi2 2) -1/2)) (+.f64 (cos.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (pow.f64 phi2 4) 1/24)))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 6))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (pow.f64 phi2 4))) (cos.f64 lambda1)))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (pow.f64 phi2 2) -1/2)) (+.f64 (cos.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (pow.f64 phi2 4) 1/24)))) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (pow.f64 phi2 6) -1/720))))
(+.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 -1/2 (pow.f64 phi2 2)))))) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 -1/720 (pow.f64 phi2 6))))
(+.f64 (+.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 -1/720 (pow.f64 phi2 6))))
(+.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 0 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(-.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 0)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1/2))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 1/2)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 1/4)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2))
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1/2) 2)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 1)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 2) 2)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4) 4)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) 8)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4)) (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) 4))) 16)
(acos.f64 (+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 0)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(+.f64 0 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(-.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 0)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)) 1)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 2)) 2)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(/.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) 4)) 4)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) 4))) 8)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) 4))) (.f64 2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) 4)))) 16)
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2))

eval144.0ms (0.5%)

Compiler: Compiled 13607 to 5333 computations (60.8% saved)

prune141.0ms (0.5%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	541	15	556
Fresh	7	10	17
Picked	0	1	1
Done	1	8	9
Total	549	34	583

Error

17.0b

Counts

583 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
✓	32.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
✓	30.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
✓	44.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	44.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
✓	46.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	51.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
	48.0b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))) R)
	57.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) R)
	58.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1))))))) R)
	58.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2))))))) R)
	58.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) R)
✓	50.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (cos.f64 phi2)))) R)
	48.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda2 2)))))))) R)
	48.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))))) R)
	45.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	44.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
✓	47.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	59.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))) R)
	47.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
	55.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 phi2))) R)
	55.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda1))) R)
	51.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R)
	62.6b	(.f64 (acos.f64 (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (+.f64 1 (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (.f64 -1/2 (pow.f64 lambda2 2)))))) R)
	56.2b	(.f64 (acos.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
	44.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)
✓	47.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R)
	46.0b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
	52.6b	(*.f64 (acos.f64 (cos.f64 phi2)) R)
	54.9b	(*.f64 (acos.f64 (cos.f64 phi1)) R)
✓	53.3b	(*.f64 (acos.f64 (cos.f64 lambda2)) R)
	52.5b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
	61.6b	(*.f64 (acos.f64 1) R)
	60.1b	(*.f64 lambda2 R)

Compiler

Compiled 653 to 479 computations (26.6% saved)

regimes345.0ms (1.2%)

Counts

56 → 2

Calls

Call 1

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

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

Calls

10 calls:

63.0ms	(.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)
49.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
41.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
25.0ms	lambda1
25.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
19.3b	1	`R`
19.3b	1	`lambda1`
19.3b	1	`lambda2`
19.3b	1	`phi1`
19.3b	1	`phi2`
18.1b	3	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
18.1b	2	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
18.1b	2	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
19.3b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
19.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1123 to 447 computations (60.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04512894589722748

Compiler

Compiled 32 to 24 computations (25% saved)

regimes131.0ms (0.5%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Error	Segments	Branch
19.4b	1	`R`
19.4b	1	`lambda1`
19.4b	1	`lambda2`
19.4b	1	`phi1`
19.4b	1	`phi2`
19.4b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
19.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 534 to 200 computations (62.5% saved)

regimes291.0ms (1%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

58.0ms	phi2
57.0ms	(cos.f64 (-.f64 lambda1 lambda2))
46.0ms	(-.f64 lambda1 lambda2)
44.0ms	phi1
30.0ms	lambda1

Results

Error	Segments	Branch
30.3b	1	`R`
19.3b	2	`lambda1`
19.4b	2	`lambda2`
23.5b	3	`phi1`
23.0b	4	`phi2`
28.9b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
29.1b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 496 to 189 computations (61.9% saved)

bsearch137.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
137.0ms	-10.866991023609344	-1.380473509523205e-9

Results

93.0ms	95×	body	1024	valid
16.0ms	22×	body	512	valid
14.0ms	7×	body	2048	valid
12.0ms	36×	body	256	valid

Compiler

Compiled 492 to 364 computations (26% saved)

regimes423.0ms (1.5%)

Counts

35 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (acos.f64 (+.f64 (*.f64 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 lambda1)))) R)

Calls

7 calls:

109.0ms	(cos.f64 (-.f64 lambda1 lambda2))
102.0ms	(-.f64 lambda1 lambda2)
56.0ms	lambda1
46.0ms	phi2
43.0ms	phi1

Results

Error	Segments	Branch
30.3b	1	`R`
25.9b	4	`lambda1`
23.9b	2	`lambda2`
23.5b	3	`phi1`
24.2b	3	`phi2`
28.9b	3	`(cos.f64 (-.f64 lambda1 lambda2))`
29.1b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 479 to 186 computations (61.2% saved)

bsearch231.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
131.0ms	2.1055815477482302e-32	5.018384687565139e-32
100.0ms	-165417331034476.94	-661006516108.4376

Results

169.0ms	98×	body	1024	valid
23.0ms	39×	body	512	valid
20.0ms	12×	body	2048	valid
13.0ms	43×	body	256	valid

Compiler

Compiled 596 to 432 computations (27.5% saved)

regimes426.0ms (1.5%)

Counts

34 → 4

Calls

Call 1

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

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

Calls

7 calls:

111.0ms	(cos.f64 (-.f64 lambda1 lambda2))
70.0ms	R
66.0ms	lambda1
54.0ms	phi2
42.0ms	phi1

Results

Error	Segments	Branch
35.4b	5	`R`
32.5b	5	`lambda1`
33.6b	3	`lambda2`
29.8b	3	`phi1`
28.9b	4	`phi2`
30.4b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
31.7b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 462 to 183 computations (60.4% saved)

bsearch447.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
146.0ms	1.9769000833408938e+177	3.3815795540528015e+179
170.0ms	4.113785643979288e+26	1.6630272962465107e+28
130.0ms	-8.403998332148755e-6	-2.3623351940709497e-22

Results

289.0ms	248×	body	1024	valid
100.0ms	49×	body	512	valid
30.0ms	15×	body	2048	valid
21.0ms	72×	body	256	valid

Compiler

Compiled 976 to 722 computations (26% saved)

regimes353.0ms (1.3%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

65.0ms	R
63.0ms	lambda1
53.0ms	(-.f64 lambda1 lambda2)
52.0ms	phi2
40.0ms	phi1

Results

Error	Segments	Branch
35.4b	5	`R`
32.5b	5	`lambda1`
33.6b	3	`lambda2`
29.8b	3	`phi1`
33.4b	3	`phi2`
31.9b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
30.9b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 444 to 180 computations (59.5% saved)

bsearch286.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
179.0ms	0.05146892425791707	31672585.642498396
107.0ms	-4.413254612349659e+34	-2.48379582212631e+33

Results

209.0ms	148×	body	1024	valid
32.0ms	18×	body	2048	valid
24.0ms	35×	body	512	valid
17.0ms	55×	body	256	valid

Compiler

Compiled 736 to 536 computations (27.2% saved)

regimes576.0ms (2.1%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

156.0ms	lambda1
124.0ms	phi2
113.0ms	(-.f64 lambda1 lambda2)
72.0ms	R
39.0ms	lambda2

Results

Error	Segments	Branch
38.1b	6	`R`
32.5b	5	`lambda1`
33.6b	3	`lambda2`
30.2b	3	`phi1`
32.8b	4	`phi2`
34.1b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
32.9b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 390 to 168 computations (56.9% saved)

bsearch262.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
123.0ms	0.05146892425791707	31672585.642498396
139.0ms	-661006516108.4376	-0.3108853118343699

Results

187.0ms	180×	body	1024	valid
26.0ms	44×	body	512	valid
23.0ms	69×	body	256	valid
21.0ms	11×	body	2048	valid

Compiler

Compiled 811 to 594 computations (26.8% saved)

regimes235.0ms (0.8%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

7 calls:

54.0ms	(-.f64 lambda1 lambda2)
44.0ms	phi2
37.0ms	R
23.0ms	phi1
23.0ms	lambda1

Results

Error	Segments	Branch
39.6b	3	`R`
36.4b	2	`lambda1`
36.9b	2	`lambda2`
32.6b	2	`phi1`
33.9b	4	`phi2`
40.1b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
38.8b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 344 to 155 computations (54.9% saved)

bsearch148.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
147.0ms	-661006516108.4376	-0.3108853118343699

Results

108.0ms	96×	body	1024	valid
16.0ms	27×	body	512	valid
11.0ms	6×	body	2048	valid
10.0ms	31×	body	256	valid

Compiler

Compiled 382 to 284 computations (25.7% saved)

regimes195.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

45.0ms	R
36.0ms	lambda2
31.0ms	phi2
20.0ms	lambda1
20.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
41.2b	5	`R`
36.4b	2	`lambda1`
37.3b	4	`lambda2`
38.5b	2	`phi1`
35.2b	3	`phi2`
42.1b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
42.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 249 to 117 computations (53% saved)

bsearch232.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	2.086650681299895e-11	4.222567402772184e-11
160.0ms	-3.772725425769633e-174	-5.042976143954855e-191

Results

143.0ms	145×	body	1024	valid
29.0ms	13×	body	2048	valid
24.0ms	39×	body	512	valid
15.0ms	43×	body	256	valid

Compiler

Compiled 557 to 414 computations (25.7% saved)

regimes284.0ms (1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

90.0ms	lambda2
55.0ms	(-.f64 lambda1 lambda2)
43.0ms	R
28.0ms	phi2
25.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
41.2b	5	`R`
36.4b	2	`lambda1`
37.3b	4	`lambda2`
38.5b	2	`phi1`
36.4b	3	`phi2`
42.7b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
42.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 234 to 113 computations (51.7% saved)

bsearch160.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	2.086650681299895e-11	4.222567402772184e-11
99.0ms	2.0969924374187103e-189	1.1093077050371044e-188

Results

100.0ms	95×	body	1024	valid
25.0ms	39×	body	512	valid
24.0ms	11×	body	2048	valid
9.0ms	31×	body	256	valid

Compiler

Compiled 373 to 277 computations (25.7% saved)

regimes109.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	phi2
21.0ms	(cos.f64 (-.f64 lambda1 lambda2))
16.0ms	(-.f64 lambda1 lambda2)
16.0ms	phi1
11.0ms	R

Results

Error	Segments	Branch
45.0b	2	`R`
39.6b	2	`lambda1`
39.7b	2	`lambda2`
40.6b	3	`phi1`
39.6b	3	`phi2`
42.5b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
43.4b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 106 to 71 computations (33% saved)

bsearch151.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	2.086650681299895e-11	4.222567402772184e-11
88.0ms	2.0969924374187103e-189	1.1093077050371044e-188

Results

90.0ms	93×	body	1024	valid
29.0ms	13×	body	2048	valid
15.0ms	46×	body	256	valid
14.0ms	24×	body	512	valid

Compiler

Compiled 358 to 267 computations (25.4% saved)

regimes101.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

7 calls:

18.0ms	(cos.f64 (-.f64 lambda1 lambda2))
17.0ms	R
14.0ms	phi2
14.0ms	lambda2
13.0ms	lambda1

Results

Error	Segments	Branch
49.8b	3	`R`
44.7b	3	`lambda1`
44.3b	3	`lambda2`
43.2b	3	`phi1`
42.5b	3	`phi2`
46.2b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
46.3b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 90 to 65 computations (27.8% saved)

bsearch228.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	2.086650681299895e-11	4.222567402772184e-11
144.0ms	-1.3511290146745647e-252	-1.1619673073243747e-258

Results

139.0ms	124×	body	1024	valid
45.0ms	17×	body	2048	valid
28.0ms	47×	body	512	valid
11.0ms	36×	body	256	valid

Compiler

Compiled 424 to 318 computations (25% saved)

regimes79.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (acos.f64 1) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)
(*.f64 (acos.f64 (cos.f64 phi2)) R)

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

Calls

5 calls:

24.0ms	phi2
15.0ms	lambda1
13.0ms	phi1
12.0ms	R
12.0ms	lambda2

Results

Error	Segments	Branch
51.5b	2	`R`
44.7b	3	`lambda1`
44.3b	3	`lambda2`
46.6b	3	`phi1`
44.4b	6	`phi2`

Compiler

Compiled 62 to 46 computations (25.8% saved)

bsearch178.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	9.432853911824508e-18	5.966974007599415e-16
76.0ms	1.5123091507628768e-233	3.6316794542435686e-233

Results

120.0ms	111×	body	1024	valid
23.0ms	9×	body	2048	valid
19.0ms	32×	body	512	valid
12.0ms	40×	body	256	valid

Compiler

Compiled 296 to 240 computations (18.9% saved)

regimes72.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (acos.f64 1) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)
(*.f64 (acos.f64 (cos.f64 phi1)) R)

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

Calls

5 calls:

33.0ms	phi2
15.0ms	lambda2
8.0ms	phi1
8.0ms	lambda1
7.0ms	R

Results

Error	Segments	Branch
52.5b	1	`R`
47.0b	2	`lambda1`
45.5b	3	`lambda2`
48.8b	2	`phi1`
50.1b	5	`phi2`

Compiler

Compiled 57 to 43 computations (24.6% saved)

bsearch220.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
134.0ms	1.5205584255953343e-13	7.975844754968454e-12
85.0ms	1.5123091507628768e-233	3.6316794542435686e-233

Results

127.0ms	105×	body	1024	valid
65.0ms	39×	body	512	valid
13.0ms	7×	body	2048	valid
12.0ms	41×	body	256	valid

Compiler

Compiled 296 to 240 computations (18.9% saved)

regimes50.0ms (0.2%)

Counts

4 → 4

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (acos.f64 1) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 (cos.f64 lambda2)) R)

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

Calls

5 calls:

16.0ms	phi2
15.0ms	lambda2
7.0ms	lambda1
6.0ms	R
4.0ms	phi1

Results

Error	Segments	Branch
52.5b	1	`R`
47.0b	2	`lambda1`
46.0b	4	`lambda2`
52.5b	1	`phi1`
51.1b	3	`phi2`

Compiler

Compiled 52 to 40 computations (23.1% saved)

bsearch722.0ms (2.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
447.0ms	7.975844754968454e-12	1.598677697208634
89.0ms	1.6502642978656812e-31	5.487980710015777e-31
185.0ms	1.2609150000963887e-146	3.5798255226846566e-135

Results

597.0ms	221×	body	1024	valid
72.0ms	85×	body	512	valid
34.0ms	87×	body	256	valid
13.0ms	7×	body	2048	valid

Compiler

Compiled 552 to 444 computations (19.6% saved)

regimes52.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (acos.f64 1) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)

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

Calls

5 calls:

25.0ms	phi1
11.0ms	lambda1
9.0ms	lambda2
3.0ms	phi2
3.0ms	R

Results

Error	Segments	Branch
52.5b	1	`R`
50.9b	3	`lambda1`
51.5b	3	`lambda2`
52.5b	1	`phi1`
52.5b	1	`phi2`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch297.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
166.0ms	9.768715826424249e-132	2.3699069510735467e-111
131.0ms	-1.380473509523205e-9	-9.21862471060467e-16

Results

211.0ms	193×	body	1024	valid
37.0ms	52×	body	512	valid
25.0ms	9×	body	2048	valid
20.0ms	66×	body	256	valid

Compiler

Compiled 432 to 344 computations (20.4% saved)

regimes19.0ms (0.1%)

Accuracy

Total -2.1b remaining (-3.4%)

Threshold costs -2.1b (-3.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(*.f64 (acos.f64 1) R)

Outputs
(*.f64 lambda2 R)

Calls

5 calls:

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

Results

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

Compiler

Compiled 42 to 34 computations (19% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1751

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 0) (.f64 lambda2 R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(if (<=.f64 lambda1 -6198106008766409/590295810358705651712) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R))
(if (<=.f64 phi1 -680000000000) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R) (if (<=.f64 phi1 35681192317649/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)))
(if (<=.f64 phi2 -4722366482869645/590295810358705651712) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi2 8499999999999999975505264640) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4200000000000000256231407835871962684583304126348339207395354588608919035402606503699502514344803161267589836126238371887692353773845803529393693587403187566231222412172037455872) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))
(if (<=.f64 phi1 -3100000000000000004221441750859776) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 2500) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -5764607523034235/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 7493989779944505/144115188075855872) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -5764607523034235/18014398509481984) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(if (<=.f64 phi2 -3176918650862687/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) (if (<=.f64 phi2 4332790137498831/154742504910672534362390528) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)))
(if (<=.f64 phi2 3323402437949941/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi2 8975065284819007/309485009821345068724781056) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)))
(if (<=.f64 phi2 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi2 3249592603124123/77371252455336267181195264) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi2 -2113178124542661/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 phi2 3249592603124123/77371252455336267181195264) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 lambda2 436295801883017/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda2 735237348132373/1267650600228229401496703205376) (.f64 (acos.f64 (cos.f64 phi2)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R)))
(if (<=.f64 lambda2 6488501669029483/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda2 4827966153212983/618970019642690137449562112) (.f64 (acos.f64 (cos.f64 phi1)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R)))
(if (<=.f64 lambda2 716054195477281/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda2 8220946709986329/45671926166590716193865151022383844364247891968) (.f64 lambda2 R) (if (<=.f64 lambda2 7378697629483821/590295810358705651712) (.f64 (acos.f64 (cos.f64 lambda1)) R) (.f64 (acos.f64 (cos.f64 lambda2)) R))))
(if (<=.f64 lambda1 -1450710983537555/1208925819614629174706176) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 5285401604417803/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (.f64 lambda2 R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(*.f64 lambda2 R)

Outputs
(if (<=.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 0) (.f64 lambda2 R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(if (<=.f64 lambda1 -6198106008766409/590295810358705651712) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R))
(if (<=.f64 phi1 -680000000000) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R) (if (<=.f64 phi1 35681192317649/713623846352979940529142984724747568191373312) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)))
(if (<=.f64 phi2 -4722366482869645/590295810358705651712) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi2 8499999999999999975505264640) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (if (<=.f64 phi2 4200000000000000256231407835871962684583304126348339207395354588608919035402606503699502514344803161267589836126238371887692353773845803529393693587403187566231222412172037455872) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))))
(if (<=.f64 phi1 -3100000000000000004221441750859776) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 2500) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -5764607523034235/18014398509481984) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 phi1 7493989779944505/144115188075855872) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -5764607523034235/18014398509481984) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R))
(if (<=.f64 phi2 -3176918650862687/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2))) R) (if (<=.f64 phi2 4332790137498831/154742504910672534362390528) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)))
(if (<=.f64 phi2 3323402437949941/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi2 8975065284819007/309485009821345068724781056) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) R)))
(if (<=.f64 phi2 3448813850702769/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi2 3249592603124123/77371252455336267181195264) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 phi2 -2113178124542661/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 phi2 3249592603124123/77371252455336267181195264) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (.f64 (acos.f64 (cos.f64 phi2)) R)))
(if (<=.f64 lambda2 436295801883017/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda2 735237348132373/1267650600228229401496703205376) (.f64 (acos.f64 (cos.f64 phi2)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R)))
(if (<=.f64 lambda2 6488501669029483/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda2 4827966153212983/618970019642690137449562112) (.f64 (acos.f64 (cos.f64 phi1)) R) (*.f64 (acos.f64 (cos.f64 lambda2)) R)))
(if (<=.f64 lambda2 716054195477281/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda2 8220946709986329/45671926166590716193865151022383844364247891968) (.f64 lambda2 R) (if (<=.f64 lambda2 7378697629483821/590295810358705651712) (.f64 (acos.f64 (cos.f64 lambda1)) R) (.f64 (acos.f64 (cos.f64 lambda2)) R))))
(if (<=.f64 lambda1 -1450710983537555/1208925819614629174706176) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 5285401604417803/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (.f64 lambda2 R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(*.f64 lambda2 R)

Compiler

Compiled 677 to 388 computations (42.7% saved)

soundness188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2198×	`rational.json-simplify-2`
1694×	`rational.json-simplify-35`
1268×	`rational.json-simplify-48`
988×	`rational.json-simplify-1`
794×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	8802
1	409	8742
2	898	8672
3	1986	8622
4	3666	8622
5	4394	8622
6	5153	8622
7	6487	8622
8	7180	8622
9	7505	8622

Stop Event

1×	node limit

Compiler

Compiled 40 to 22 computations (45% saved)

end173.0ms (0.6%)

Remove: (sort phi1 phi2)
Compiler: Compiled 879 to 287 computations (67.3% saved)