Details

analyze1.1s (3.7%)

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)

sample9.7s (33.3%)

Results

7.5s	5682×	body	1024	valid
1.1s	1445×	body	512	valid
716.0ms	289×	body	2048	valid
319.0ms	840×	body	256	valid
2.0ms	2×	body	1024	infinite
0.0ms	1×	body	256	infinite

Bogosity

preprocess84.0ms (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)

simplify191.0ms (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

4 alts after pruning (4 fresh and 0 done)

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

Error

15.6b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.6b	(.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)
▶	15.6b	(.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)
▶	15.6b	(.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

▶

15.6b

(*.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)

▶

15.6b

(*.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)

▶

15.6b

(*.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 72 to 51 computations (29.2% saved)

localize34.0ms (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)
✓	0.8b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
✓	4.0b	(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))

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`exponential.json-3`
1480×	`rational.json-1`
1480×	`rational.json-2`
1480×	`rational.json-4`
1480×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	141	142
2	320	142
3	720	142
4	1508	142
5	3823	142
6	6922	142

Stop Event

1×	node limit

Counts

4 → 60

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 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (#(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)) 1/2))))) (#(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 4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) 1/4)))) (#(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)) 1/2) 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 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
((#(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 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1/2))))) (#(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))))) 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))))) 1/2))))) (#(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 4 (/.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))))) (#(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) 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 (-.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))))) 1/2) 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 2 (.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 /.f64 (+.f64 (.f64 2 (.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 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)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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))))) 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))))) (.f64 R 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))))) (.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 (-.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 2 (.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 /.f64 (+.f64 (.f64 2 (.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 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))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (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 phi2) (.f64 (sin.f64 phi1) 1/2)) (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 1/2)))))) (#(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 phi1) (.f64 (sin.f64 phi2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)))))

simplify286.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1934×	`rational.json-simplify-35`
1304×	`rational.json-simplify-48`
1170×	`rational.json-simplify-51`
1038×	`rational.json-simplify-1`
1024×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	9360
1	472	9300
2	1089	9240
3	2194	9180
4	4390	9180
5	5361	9180
6	6220	9180
7	7612	9180

Stop Event

1×	node limit

Counts

192 → 138

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(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))))) 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))))) 4)) 8)
(/.f64 (.f64 2 (.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)
(/.f64 (+.f64 (.f64 2 (.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 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)))) 32)
(pow.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)
(+.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 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 (.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 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))))) (.f64 R 1/2)))
(-.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))))) R) 0)
(/.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 (.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 2 (.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 (.f64 2 (.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 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))))) 32)
(pow.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 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 0)
(+.f64 0 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
(+.f64 (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 1/2)) (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) 1/2)))
(-.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 phi1) (.f64 (sin.f64 phi2) 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 phi1) (*.f64 (sin.f64 phi2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4))))) 32)
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)

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 (neg.f64 (sin.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)))
(+.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 (cos.f64 lambda2) (+.f64 (.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)) (.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 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 3) 1/6))))
(+.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 1/6 (pow.f64 lambda1 3)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (neg.f64 (sin.f64 lambda2)) (*.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 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1)))))
(+.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 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 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 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.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 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) -1/6))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (+.f64 (cos.f64 lambda1) (.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))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4)))) 16)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi2) 4))))) 32)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(*.f64 (sin.f64 phi1) (sin.f64 phi2))

localize33.0ms (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 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
✓	0.8b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
✓	4.0b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 99 to 17 computations (82.8% saved)

series8.0ms (0%)

Counts

3 → 124

Calls

33 calls:

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

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`exponential.json-3`
1480×	`rational.json-1`
1480×	`rational.json-2`
1480×	`rational.json-4`
1480×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	141	127
2	320	127
3	720	127
4	1507	127
5	3825	127
6	6928	127

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Inputs

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

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

(*.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)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4)))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.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 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.f64 R 4)))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)))))

simplify328.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1888×	`rational.json-simplify-35`
1184×	`rational.json-simplify-48`
1082×	`rational.json-simplify-2`
848×	`rational.json-simplify-1`
846×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	8771
1	340	8741
2	778	8731
3	2021	8701
4	4010	8701
5	4822	8701
6	5580	8701
7	6943	8701
8	7639	8701

Stop Event

1×	node limit

Counts

173 → 104

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.f64 R 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4)))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4))))) 32)
(pow.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)

Outputs
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (*.f64 (neg.f64 (sin.f64 lambda1)) (neg.f64 lambda2)))
(+.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 (sin.f64 lambda1) 1)))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1)))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (neg.f64 lambda2)) (.f64 (cos.f64 lambda1) (*.f64 (pow.f64 lambda2 2) -1/2))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) 1)) (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 lambda1) (+.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (neg.f64 lambda2)) (.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) -1/2))) (.f64 (neg.f64 (sin.f64 lambda1)) (*.f64 1/6 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) 1)) (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 lambda1) -1/6))) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2)))
(cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2)))
(cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2)))
(cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2)))
(cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) -1/6)))
(+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (cos.f64 lambda2) (.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)))))
(+.f64 (+.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (pow.f64 lambda1 3) (*.f64 (sin.f64 lambda2) -1/6)))
(+.f64 (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) lambda1)))
(+.f64 (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (neg.f64 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (neg.f64 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (neg.f64 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (neg.f64 lambda1) lambda2))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.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) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 1)
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 1/2)))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 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 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (*.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 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4)))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 R 4))))) 32)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(pow.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))

localize33.0ms (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)
✓	0.8b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	4.0b	(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	lambda1	@	-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	lambda1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
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)))))

rewrite110.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`exponential.json-3`
1466×	`rational.json-1`
1466×	`rational.json-2`
1466×	`rational.json-4`
1466×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	139	116
2	309	116
3	704	116
4	1482	116
5	3756	116
6	6824	116

Stop Event

1×	node limit

Counts

2 → 30

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)

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 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 lambda1)))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 1/2))))) (#(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 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 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) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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 (-.f64 lambda2 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) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 lambda1)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 4))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 lambda1)))))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) (*.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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 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 (-.f64 lambda2 lambda1)))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) (*.f64 R 4)))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 1)))))

simplify313.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational.json-simplify-35`
1394×	`rational.json-simplify-2`
1198×	`rational.json-simplify-53`
1018×	`rational.json-simplify-26`
976×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	8112
1	209	8080
2	483	8080
3	1268	8080
4	2628	8080
5	4386	8080
6	4792	8080
7	5439	8080
8	6669	8080
9	7457	8080

Stop Event

1×	node limit

Counts

138 → 51

Calls

Call 1

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

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

eval130.0ms (0.4%)

Compiler: Compiled 11692 to 4000 computations (65.8% saved)

prune111.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	420	7	427
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	423	7	430

Error

15.1b

Counts

430 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(.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)
	36.0b	(.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)
▶	27.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
▶	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
▶	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
▶	37.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	36.2b	(.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 332 to 236 computations (28.9% saved)

localize30.0ms (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))
✓	0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
✓	0.7b	(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)

series13.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`exponential.json-3`
1336×	`rational.json-1`
1336×	`rational.json-2`
1336×	`rational.json-4`
1336×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	127	129
2	287	129
3	651	129
4	1388	129
5	3498	129
6	6585	129

Stop Event

1×	node limit

Counts

3 → 43

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 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 1/2))))) (#(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))))) 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))))) 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) (*.f64 (cos.f64 phi2) (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) (*.f64 (cos.f64 phi2) (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) (*.f64 (cos.f64 phi2) (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) (*.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))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (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) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4) 4)))) (#(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 2 (*.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 /.f64 (+.f64 (*.f64 2 (*.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 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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))))) 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))))) (/.f64 R 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 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))))) 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 2 (*.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 /.f64 (+.f64 (*.f64 2 (*.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 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))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (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 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) 2)) (*.f64 (cos.f64 phi1) (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) 2)))))) (#(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 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda1) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 1)))))

simplify276.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2150×	`rational.json-simplify-51`
1914×	`rational.json-simplify-2`
1720×	`rational.json-simplify-35`
1008×	`rational.json-simplify-43`
866×	`rational.json-simplify-42`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	158	7777
1	368	7717
2	956	7647
3	2398	7647
4	3699	7647
5	4180	7647
6	4521	7647
7	5020	7647
8	6341	7589

Stop Event

1×	node limit

Counts

163 → 108

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

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))))))
(.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))))))
(.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))))))
(.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 (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 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 (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 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 (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 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 (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 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 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 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) 2)) (.f64 (cos.f64 phi1) (/.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) 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 (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 2 (.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)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4)))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 lambda1) 4))))) 32)
(.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)))
(pow.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)))

localize32.0ms (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)))
✓	0.6b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series27.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
13.0ms	phi2	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
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)))

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`exponential.json-3`
1420×	`rational.json-1`
1420×	`rational.json-2`
1420×	`rational.json-4`
1420×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	139
1	131	139
2	288	139
3	648	139
4	1358	139
5	3409	139
6	5984	139
7	7506	139

Stop Event

1×	node limit

Counts

3 → 43

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 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.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)) (*.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)))))) 1/2))))) (#(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) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.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)) (*.f64 (cos.f64 phi1) (*.f64 (cos.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)) (*.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)))))) 1/2) 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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.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)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (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 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 2)) (*.f64 (cos.f64 phi1) (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) 1/2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (*.f64 (cos.f64 phi1) 1/2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi2) 1/2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (*.f64 (cos.f64 phi2) 1/2) (*.f64 (cos.f64 phi1) (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 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 1/2)))))) (#(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)))))) 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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.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))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)))))

simplify313.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1556×	`rational.json-simplify-35`
1254×	`rational.json-simplify-48`
1248×	`rational.json-simplify-51`
1204×	`rational.json-simplify-53`
874×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	10413
1	536	10237
2	1201	10103
3	2281	10043
4	4191	10043
5	5698	10043
6	6490	10043
7	7842	10043

Stop Event

1×	node limit

Counts

199 → 129

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) 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)))
✓	0.6b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series17.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`exponential.json-3`
1420×	`rational.json-1`
1420×	`rational.json-2`
1420×	`rational.json-4`
1420×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	108
1	131	108
2	288	108
3	648	108
4	1358	108
5	3410	108
6	5973	108
7	7495	108

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs

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

(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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) 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) 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) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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) 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) 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) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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 4 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.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 (sin.f64 phi1) 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) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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) 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) 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) 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 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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) 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) 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) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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) 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) 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) 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) 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 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) 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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R) 1)))))

simplify315.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1734×	`rational.json-simplify-35`
1694×	`rational.json-simplify-2`
1216×	`rational.json-simplify-53`
1188×	`rational.json-simplify-1`
772×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	7560
1	212	7528
2	478	7528
3	1321	7528
4	2792	7528
5	4012	7528
6	4757	7528
7	5280	7528
8	6299	7528
9	6870	7528

Stop Event

1×	node limit

Counts

138 → 52

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 16 computations (80.7% saved)

series10.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`exponential.json-3`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`
1354×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	129	129
2	298	129
3	667	129
4	1410	129
5	3540	129
6	6379	129

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

Inputs

(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))))) R)

(*.f64 (cos.f64 phi1) (*.f64 (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 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) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 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) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 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) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 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) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.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) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 lambda2) 1/2) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (*.f64 (cos.f64 lambda2) 1/2) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))))

simplify277.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2574×	`rational.json-simplify-2`
1806×	`rational.json-simplify-35`
1378×	`rational.json-simplify-51`
946×	`rational.json-simplify-43`
874×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	7704
1	380	7674
2	921	7594
3	2248	7516
4	4367	7516
5	5058	7516
6	5495	7516
7	6079	7516
8	7463	7516

Stop Event

1×	node limit

Counts

162 → 100

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))))))
(.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 (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 (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 (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 (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))))))
(.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 (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 (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 (cos.f64 phi2) (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 4)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 4)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 6)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.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 -1/720 (.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 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.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 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1/2))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1/2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 4)))) 32)
(pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))) 1)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (.f64 R 1/2)))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (.f64 R 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (*.f64 R 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) (.f64 R 4))))) 32)
(pow.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R) 1)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(+.f64 0 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(+.f64 (.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) 2))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 4))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 4))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) 4)))))) 32)
(pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 16 computations (80.7% saved)

series9.0ms (0%)

Counts

3 → 84

Calls

30 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`exponential.json-3`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`
1354×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	129	129
2	298	129
3	667	129
4	1409	129
5	3540	129
6	6375	129

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

Inputs

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

(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (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 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1/2))))) (#(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))))) 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))))) 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) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 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) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4))))) (#(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) 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) (*.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))))) 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) (*.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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.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)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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))))) 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))))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (*.f64 R 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) (*.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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.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))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) 1/2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 lambda2) 1/2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (*.f64 (cos.f64 lambda2) 1/2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)))))

simplify250.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2516×	`rational.json-simplify-2`
1478×	`rational.json-simplify-35`
1350×	`rational.json-simplify-51`
958×	`rational.json-simplify-43`
878×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	6516
1	391	6486
2	928	6406
3	2306	6336
4	4389	6336
5	4929	6336
6	5277	6336
7	5761	6336
8	7158	6336

Stop Event

1×	node limit

Counts

126 → 106

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 (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))))))
(.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 (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 (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 (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 (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))))))
(.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 (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 (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 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 4)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 4)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 phi2 6)))))))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.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 1/24 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.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 -1/720 (.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 -1/2 (.f64 (pow.f64 lambda2 2) (.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 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 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 1/2))
(-.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))))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) 4) 1/4)
(.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))))) 1/2) 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 2 (.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 2 (.f64 2 (.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)))) 32)
(pow.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))))) 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))))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (.f64 R 1/2)))
(-.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 2 (.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 2 (.f64 2 (.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))))) 32)
(pow.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) 1/2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) 1/2))))
(+.f64 (.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 lambda2) 1/2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 2))) 2)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)))))) 32)
(pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)

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

eval272.0ms (0.9%)

Compiler: Compiled 22955 to 8266 computations (64% saved)

prune264.0ms (0.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	790	14	804
Fresh	0	2	2
Picked	0	1	1
Done	2	2	4
Total	792	19	811

Error

14.9b

Counts

811 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(.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)
	36.0b	(.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)
✓	27.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
✓	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
▶	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	44.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) R)
	42.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
	51.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (*.f64 (cos.f64 lambda2) -1/2)))))) R)
✓	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	47.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
▶	45.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
▶	49.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))) R)
	46.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	43.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))) R)
	46.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) R)
	45.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	39.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
▶	47.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)

Compiler

Compiled 768 to 548 computations (28.6% saved)

localize37.0ms (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)
✓	0.2b	(.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))
✓	0.6b	(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)

series29.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
15.0ms	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)) (cos.f64 lambda1))))) R)
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	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)))

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`rational.json-1`
1684×	`rational.json-2`
1134×	`rational.json-simplify-35`
1118×	`exponential.json-3`
1118×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	177
1	155	177
2	340	177
3	775	177
4	1655	177
5	4205	177
6	7477	177

Stop Event

1×	node limit

Counts

3 → 41

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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) 1/2) (*.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)) (cos.f64 lambda1))))) 1/2))))) (#(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)) (cos.f64 lambda1))))) 0)))) (#(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)) (cos.f64 lambda1))))) 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)) (cos.f64 lambda1))))))))) (#(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)) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) 4))))) (#(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)) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.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)) (cos.f64 lambda1))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.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)) (cos.f64 lambda1))))) 4))) (*.f64 2 (*.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)) (cos.f64 lambda1))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 1/2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) (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 (+.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 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 4)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (*.f64 R 1/2)) (*.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)) (cos.f64 lambda1))))) (*.f64 R 1/2)))))) (#(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)) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 2 (*.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)) (cos.f64 lambda1))))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.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)) (cos.f64 lambda1))))) (*.f64 R 4)))) (*.f64 2 (*.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)) (cos.f64 lambda1))))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)) (cos.f64 lambda1))))) R) 1)))))

simplify377.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2496×	`rational.json-simplify-2`
1500×	`rational.json-simplify-35`
1322×	`rational.json-simplify-51`
1082×	`rational.json-simplify-1`
942×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	12459
1	413	12299
2	944	12149
3	2313	12067
4	4432	12067
5	5399	12067
6	5771	12067
7	6380	12067
8	7358	12067

Stop Event

1×	node limit

Counts

197 → 108

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

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))))
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(/.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)) (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 R (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)))))
(/.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)) (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 R (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)))))
(/.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)) (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 R (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)))))
(/.f64 (.f64 2 (.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)) (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))))))
(.f64 R (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)))))
(/.f64 (+.f64 (.f64 2 (.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)) (cos.f64 lambda1))))) (.f64 R 4)))) (.f64 2 (.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)) (cos.f64 lambda1))))) (.f64 R 4))))) 32)
(.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 R (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)))))
(pow.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)) (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 R (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)))))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 phi1 (sin.f64 phi2))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
✓	1.2b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series8.0ms (0%)

Counts

3 → 112

Calls

33 calls:

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

rewrite125.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational.json-1`
1764×	`rational.json-2`
1546×	`rational.json-simplify-35`
1050×	`exponential.json-3`
1050×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	116	99
2	251	99
3	551	99
4	1135	99
5	2770	99
6	5156	99
7	7358	99

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1/2) (*.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 (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 1/4 (*.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) 4)))) (#(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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)))) 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)))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 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)))) 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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.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 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 R 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 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 2 (*.f64 2 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 phi1 (*.f64 (sin.f64 phi2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 phi1 (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 phi2) (neg.f64 phi1)))))))

simplify343.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1908×	`rational.json-simplify-2`
1600×	`rational.json-simplify-35`
1570×	`rational.json-simplify-53`
1256×	`exponential.json-simplify-26`
876×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	6665
1	315	6615
2	779	6603
3	2131	6603
4	3854	6603
5	4452	6603
6	4896	6603
7	5368	6603
8	6057	6603
9	6363	6603
10	7750	6603

Stop Event

1×	node limit

Counts

159 → 80

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))))
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(pow.f64 (*.f64 phi1 (sin.f64 phi2)) 1)
(neg.f64 (*.f64 (sin.f64 phi2) (neg.f64 phi1)))

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(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 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))
(.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 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 phi1 (sin.f64 phi2)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 phi1 (*.f64 (sin.f64 phi2) 4))))) 32)
(*.f64 phi1 (sin.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 phi1 (.f64 (sin.f64 phi2) 4)))))) 64)
(*.f64 phi1 (sin.f64 phi2))
(pow.f64 (*.f64 phi1 (sin.f64 phi2)) 1)
(*.f64 phi1 (sin.f64 phi2))
(neg.f64 (*.f64 (sin.f64 phi2) (neg.f64 phi1)))
(*.f64 phi1 (sin.f64 phi2))

localize21.0ms (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 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.3b	(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)

series12.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite119.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational.json-1`
1800×	`rational.json-2`
1556×	`rational.json-simplify-35`
1078×	`exponential.json-3`
1078×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	119
1	112	119
2	250	119
3	554	119
4	1163	119
5	2843	119
6	5342	119
7	7626	119

Stop Event

1×	node limit

Counts

3 → 53

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 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 1/2) (*.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 (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 1/4 (*.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) 4)))) (#(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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)))) 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)))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.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 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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.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 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (*.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 1/4 (*.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) 4)))) (#(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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)))))

simplify311.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2258×	`rational.json-simplify-2`
1610×	`rational.json-simplify-35`
1144×	`rational.json-simplify-53`
1074×	`rational.json-simplify-51`
932×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	7079
1	333	7069
2	873	7039
3	1810	7009
4	3641	7009
5	4767	7009
6	5004	7009
7	5356	7009
8	6431	7009
9	6996	7009

Stop Event

1×	node limit

Counts

173 → 101

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)
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(/.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 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))))) 64)
(pow.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)

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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(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))))
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(/.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 2 (.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 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 R 4))))) 32)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.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 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 R 4)))))) 64)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.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 (.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 1/4 (.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) 4)
(+.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 2 (.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)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)))) 32)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 4))))) 64)
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(pow.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)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.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)
✓	1.1b	(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)

series4.0ms (0%)

Counts

3 → 68

Calls

21 calls:

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

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational.json-1`
1502×	`rational.json-simplify-35`
1084×	`exponential.json-3`
1084×	`rational.json-2`
1084×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	106	99
2	240	99
3	534	99
4	1125	99
5	2791	99
6	5361	99
7	7762	99

Stop Event

1×	node limit

Counts

3 → 46

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 (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 1/4 (*.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) 4)))) (#(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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)))) 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 2 (*.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 /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.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 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (cos.f64 phi2) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1)))))

simplify263.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2400×	`rational.json-simplify-2`
1632×	`rational.json-simplify-35`
1178×	`rational.json-simplify-51`
918×	`rational.json-simplify-1`
886×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	4510
1	300	4510
2	751	4490
3	2016	4452
4	4306	4452
5	4853	4452
6	5172	4452
7	5618	4452
8	6902	4452
9	7565	4452

Stop Event

1×	node limit

Counts

114 → 82

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 phi1)
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 phi2 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 phi2 6))) (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 phi2 4))))))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (cos.f64 phi2)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (cos.f64 phi2))) (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (cos.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 1/4 (.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) 4)
(/.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 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))))) 64)
(pow.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)))) 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 2 (.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 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.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 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4)))))) 64)
(pow.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) 1)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 0)
(+.f64 0 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/2))
(-.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 0)
(/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 2)) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))))) 64)
(pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1)

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))))
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(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4) 4)
(acos.f64 (+.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)))) 1)
(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)))) 2) 2)
(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)))) 4) 4)
(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)))) 4)) 8)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))) 16)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)))) 32)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 4))))) 64)
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(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)))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R))
(.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 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 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)))) R) 0)
(.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)))) 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 2 (.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 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 R 4))))) 32)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.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 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 R 4)))))) 64)
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(pow.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 (cos.f64 phi2) (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 0 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/2))
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(-.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 2)) 2)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)) 4)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 8)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) 16)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))))) 32)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))))) 64)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))
(pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi2) (cos.f64 phi1))

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 111 to 18 computations (83.8% saved)

series29.0ms (0.1%)

Counts

4 → 124

Calls

36 calls:

Time	Variable		Point	Expression
11.0ms	phi1	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))
8.0ms	phi2	@	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	lambda1	@	0	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))

rewrite101.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`exponential.json-3`
1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-4`
1434×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	128
1	134	128
2	298	128
3	676	128
4	1451	128
5	3669	128
6	6667	128

Stop Event

1×	node limit

Counts

4 → 52

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.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) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))))) (#(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) 1/2))) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) 1)))) (#(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) 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 2 (.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 /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) phi2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 phi1) phi2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) (.f64 phi2 1/2)) (.f64 (sin.f64 phi1) (.f64 phi2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 phi1) phi2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi1) phi2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi1) (+.f64 phi2 phi2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi1) (.f64 phi2 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 phi1) (.f64 phi2 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 phi2 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 phi2 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (.f64 phi2 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 phi1) phi2) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 1)))))

simplify295.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1680×	`rational.json-simplify-35`
1430×	`rational.json-simplify-53`
1380×	`rational.json-simplify-51`
876×	`rational.json-simplify-43`
856×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	8224
1	555	8164
2	1191	8012
3	2672	7780
4	4986	7780
5	6518	7780
6	6974	7780
7	7575	7780

Stop Event

1×	node limit

Counts

176 → 160

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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) phi2)))
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(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 4))))) 32)
(pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 1)

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

eval237.0ms (0.8%)

Compiler: Compiled 19390 to 7227 computations (62.7% saved)

prune412.0ms (1.4%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	691	14	705
Fresh	1	10	11
Picked	1	0	1
Done	1	6	7
Total	694	30	724

Error

14.8b

Counts

724 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) R)
	46.6b	(.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)
✓	32.2b	(.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)
	36.0b	(.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)
✓	27.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
✓	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
✓	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	44.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) R)
	42.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
	51.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (*.f64 (cos.f64 lambda2) -1/2)))))) R)
✓	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	47.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
✓	45.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	53.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi2))) R)
	54.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R)
▶	46.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	54.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) R)
▶	59.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))))) R)
	54.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	49.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	43.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))) R)
	45.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	39.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	53.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
▶	54.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	49.5b	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	55.5b	(.f64 (acos.f64 (+.f64 (cos.f64 lambda1) (.f64 phi1 (sin.f64 phi2)))) R)
	44.5b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
▶	52.0b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)

Compiler

Compiled 1087 to 777 computations (28.5% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1))))
✓	0.6b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))

Compiler

Compiled 160 to 21 computations (86.9% saved)

series12.0ms (0%)

Counts

3 → 72

Calls

33 calls:

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

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`rational.json-1`
1724×	`rational.json-2`
1724×	`rational.json-3`
1288×	`rational.json-simplify-35`
1088×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	141
1	164	131
2	401	121
3	947	121
4	2089	121
5	4395	121
6	7281	121

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs

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

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

(*.f64 (cos.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.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 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 2) (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.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 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 4))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (/.f64 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4)))))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)))))

simplify291.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1720×	`rational.json-simplify-35`
1140×	`rational.json-simplify-51`
1104×	`rational.json-simplify-53`
1026×	`rational.json-simplify-1`
976×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	8073
1	577	7345
2	1307	6539
3	2448	6421
4	3896	6421
5	4817	6421
6	5708	6421
7	6764	6421
8	7865	6421

Stop Event

1×	node limit

Counts

111 → 142

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))))
(+.f64 (.f64 1/24 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))))
(+.f64 (.f64 -1/720 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 6))))) (+.f64 (.f64 1/24 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))))))
(.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))))))
(.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))
(+.f64 (.f64 -1/6 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1))))
(+.f64 (.f64 1/120 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 5))))) (+.f64 (.f64 -1/6 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))))
(+.f64 (.f64 -1/5040 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 7))))) (+.f64 (.f64 1/120 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 5))))) (+.f64 (.f64 -1/6 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) 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) (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) (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 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))))
(+.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 2) (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 2))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 4)))) 32)
(pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))))) 1)
(+.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)
(+.f64 0 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (/.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2) (/.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))
(-.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)
(/.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi1) 2)))) 2)
(/.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4)))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4)))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4)))))) (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4))))))) 32)
(pow.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)
(+.f64 0 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2))
(-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi1) 2))) 2)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) 4))))) (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) 4)))))) 32)
(pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)

Outputs
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.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 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.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) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))
(.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))))
(.f64 lambda2 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))))
(.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 lambda2 (*.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/24 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))) (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))) 1/24)))
(+.f64 (.f64 lambda2 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))) (.f64 (cos.f64 phi1) (.f64 (.f64 lambda2 (*.f64 (sin.f64 lambda1) (pow.f64 phi2 4))) 1/24)))
(.f64 lambda2 (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))))
(.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (.f64 lambda2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 4)))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 lambda2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))))
(+.f64 (.f64 -1/720 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 6))))) (+.f64 (.f64 1/24 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))))))
(+.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))) 1/24)) (+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))) (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 6))) -1/720))))
(+.f64 (.f64 lambda2 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))) (+.f64 (.f64 lambda2 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 6))))) (.f64 (cos.f64 phi1) (.f64 (.f64 lambda2 (*.f64 (sin.f64 lambda1) (pow.f64 phi2 4))) 1/24))))
(+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 lambda2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2)))))) (.f64 lambda2 (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4)))) (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 6)))))))
(+.f64 (.f64 lambda2 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/720 (.f64 lambda2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 6)))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 lambda2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))))))
(.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))
(.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))))
(+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi2))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (sin.f64 lambda1)) (pow.f64 phi1 2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (cos.f64 phi2) (.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (pow.f64 phi1 2)) -1/2)))
(.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (.f64 (*.f64 lambda2 (sin.f64 lambda1)) (pow.f64 phi1 2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)))))))
(+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) (cos.f64 phi2))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (sin.f64 lambda1)) (pow.f64 phi1 2)))) (.f64 1/24 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (sin.f64 lambda1)) (pow.f64 phi1 4))))))
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(-.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 0)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(/.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(/.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi1) 2)))) 2)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(/.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4)))) 4)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) 4))))) 8)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4)))))) 16)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4)))))) (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) 4))))))) 32)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(pow.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 lambda1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 0 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2) (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 2))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 0)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi1) 2))) 2)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))) 4)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) 4)))) 8)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) 4))))) 16)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) 4))))) (.f64 2 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) 4)))))) 32)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(pow.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))) 1)
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 lambda1)
✓	0.2b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
✓	1.9b	(acos.f64 (cos.f64 lambda1))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite148.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`rational.json-simplify-35`
1416×	`exponential.json-3`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	53	29
2	123	29
3	267	29
4	519	29
5	1181	29
6	2417	29
7	3934	29
8	5184	29
9	7081	29

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (cos.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (cos.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (cos.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (cos.f64 lambda1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (cos.f64 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (cos.f64 lambda1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (cos.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (cos.f64 lambda1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (cos.f64 lambda1)) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 1/2)) (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda1) 1/2) (*.f64 (cos.f64 lambda1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 lambda1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 lambda1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 lambda1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 lambda1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 lambda1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 lambda1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 lambda1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 lambda1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 lambda1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 lambda1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 lambda1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 lambda1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 lambda1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 lambda1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 lambda1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 lambda1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 lambda1) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 lambda1) 1)))))

simplify489.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3410×	`rational.json-simplify-2`
2436×	`rational.json-simplify-53`
2072×	`rational.json-simplify-35`
852×	`exponential.json-simplify-26`
834×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	838
1	281	838
2	794	838
3	1970	838
4	3400	838
5	3714	838
6	3855	838
7	3939	838
8	4041	838
9	4165	838
10	5302	838
11	5722	838
12	6223	838
13	6394	838
14	6494	838
15	6589	838
16	6589	838
17	6609	838
18	6613	838
19	7525	838

Stop Event

1×	node limit

Counts

102 → 79

Calls

Call 1

Inputs
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
(*.f64 R lambda1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (.f64 -1/2 (pow.f64 lambda1 2))))
(+.f64 (.f64 -1/720 (pow.f64 lambda1 6)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (acos.f64 (cos.f64 lambda1)) 0)
(+.f64 0 (acos.f64 (cos.f64 lambda1)))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2) (.f64 (acos.f64 (cos.f64 lambda1)) 1/2))
(-.f64 (acos.f64 (cos.f64 lambda1)) 0)
(*.f64 (acos.f64 (cos.f64 lambda1)) 1)
(*.f64 1 (acos.f64 (cos.f64 lambda1)))
(.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) 1/2)
(*.f64 4 (/.f64 (acos.f64 (cos.f64 lambda1)) 4))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (cos.f64 lambda1)) 2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2) 2)
(.f64 1/4 (.f64 (acos.f64 (cos.f64 lambda1)) 4))
(*.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) 4)
(/.f64 (acos.f64 (cos.f64 lambda1)) 1)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) 2)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) 4)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 8) 8)
(/.f64 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8)))))) 256)
(pow.f64 (acos.f64 (cos.f64 lambda1)) 1)
(+.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)
(+.f64 0 (*.f64 (acos.f64 (cos.f64 lambda1)) R))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2)) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2)))
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 4)) 4)
(/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 8)) 8)
(/.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)) 16)
(/.f64 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8)))))) 256)
(pow.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)
(+.f64 (cos.f64 lambda1) 0)
(+.f64 0 (cos.f64 lambda1))
(+.f64 (.f64 (cos.f64 lambda1) 1/2) (.f64 (cos.f64 lambda1) 1/2))
(-.f64 (cos.f64 lambda1) 0)
(*.f64 (cos.f64 lambda1) 1)
(*.f64 1 (cos.f64 lambda1))
(.f64 2 (.f64 (cos.f64 lambda1) 1/2))
(.f64 (.f64 (cos.f64 lambda1) 2) 1/2)
(*.f64 4 (/.f64 (cos.f64 lambda1) 4))
(.f64 (.f64 (cos.f64 lambda1) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 lambda1) 2))
(.f64 (.f64 (cos.f64 lambda1) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 lambda1) 4))
(*.f64 (/.f64 (cos.f64 lambda1) 4) 4)
(/.f64 (cos.f64 lambda1) 1)
(/.f64 (*.f64 (cos.f64 lambda1) 2) 2)
(/.f64 (*.f64 (cos.f64 lambda1) 4) 4)
(/.f64 (*.f64 (cos.f64 lambda1) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 lambda1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 lambda1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 lambda1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (cos.f64 lambda1) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 lambda1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 lambda1) 8)))))) 256)
(pow.f64 (cos.f64 lambda1) 1)

Outputs
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
lambda1
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
(*.f64 R lambda1)
(*.f64 lambda1 R)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (.f64 -1/2 (pow.f64 lambda1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (.f64 1/24 (pow.f64 lambda1 4))))
(+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (+.f64 1 (.f64 1/24 (pow.f64 lambda1 4))))
(+.f64 (.f64 -1/720 (pow.f64 lambda1 6)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (.f64 1/24 (pow.f64 lambda1 4))) (*.f64 -1/720 (pow.f64 lambda1 6))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) 1)) (*.f64 -1/720 (pow.f64 lambda1 6)))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (+.f64 1 (.f64 1/24 (pow.f64 lambda1 4)))) (*.f64 -1/720 (pow.f64 lambda1 6)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 1/24 (pow.f64 lambda1 4)) (*.f64 -1/720 (pow.f64 lambda1 6)))))
(+.f64 (acos.f64 (cos.f64 lambda1)) 0)
(acos.f64 (cos.f64 lambda1))
(+.f64 0 (acos.f64 (cos.f64 lambda1)))
(acos.f64 (cos.f64 lambda1))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2) (.f64 (acos.f64 (cos.f64 lambda1)) 1/2))
(acos.f64 (cos.f64 lambda1))
(-.f64 (acos.f64 (cos.f64 lambda1)) 0)
(acos.f64 (cos.f64 lambda1))
(*.f64 (acos.f64 (cos.f64 lambda1)) 1)
(acos.f64 (cos.f64 lambda1))
(*.f64 1 (acos.f64 (cos.f64 lambda1)))
(acos.f64 (cos.f64 lambda1))
(.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2))
(acos.f64 (cos.f64 lambda1))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) 1/2)
(acos.f64 (cos.f64 lambda1))
(*.f64 4 (/.f64 (acos.f64 (cos.f64 lambda1)) 4))
(acos.f64 (cos.f64 lambda1))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) 1/4)
(acos.f64 (cos.f64 lambda1))
(.f64 1/2 (.f64 (acos.f64 (cos.f64 lambda1)) 2))
(acos.f64 (cos.f64 lambda1))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2) 2)
(acos.f64 (cos.f64 lambda1))
(.f64 1/4 (.f64 (acos.f64 (cos.f64 lambda1)) 4))
(acos.f64 (cos.f64 lambda1))
(*.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) 4)
(acos.f64 (cos.f64 lambda1))
(/.f64 (acos.f64 (cos.f64 lambda1)) 1)
(acos.f64 (cos.f64 lambda1))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 2) 2)
(acos.f64 (cos.f64 lambda1))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) 4)
(acos.f64 (cos.f64 lambda1))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 8) 8)
(acos.f64 (cos.f64 lambda1))
(/.f64 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8)) 16)
(acos.f64 (cos.f64 lambda1))
(/.f64 (.f64 2 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))) 32)
(acos.f64 (cos.f64 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8)))) 64)
(acos.f64 (cos.f64 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 8))))) 128)
(acos.f64 (cos.f64 lambda1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 8)))))) 256)
(acos.f64 (cos.f64 lambda1))
(pow.f64 (acos.f64 (cos.f64 lambda1)) 1)
(acos.f64 (cos.f64 lambda1))
(+.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(+.f64 0 (*.f64 (acos.f64 (cos.f64 lambda1)) R))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(+.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2)) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2)))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (+.f64 R R)) 2)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 4)) 4)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 8)) 8)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)) 16)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8))) 32)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (*.f64 R 8)))) 64)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8))))) 128)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 2) (.f64 R 8)))))) 256)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(pow.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(+.f64 (cos.f64 lambda1) 0)
(cos.f64 lambda1)
(+.f64 0 (cos.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (.f64 (cos.f64 lambda1) 1/2) (.f64 (cos.f64 lambda1) 1/2))
(cos.f64 lambda1)
(-.f64 (cos.f64 lambda1) 0)
(cos.f64 lambda1)
(*.f64 (cos.f64 lambda1) 1)
(cos.f64 lambda1)
(*.f64 1 (cos.f64 lambda1))
(cos.f64 lambda1)
(.f64 2 (.f64 (cos.f64 lambda1) 1/2))
(cos.f64 lambda1)
(.f64 (.f64 (cos.f64 lambda1) 2) 1/2)
(cos.f64 lambda1)
(*.f64 4 (/.f64 (cos.f64 lambda1) 4))
(cos.f64 lambda1)
(.f64 (.f64 (cos.f64 lambda1) 4) 1/4)
(cos.f64 lambda1)
(.f64 1/2 (.f64 (cos.f64 lambda1) 2))
(cos.f64 lambda1)
(.f64 (.f64 (cos.f64 lambda1) 1/2) 2)
(cos.f64 lambda1)
(.f64 1/4 (.f64 (cos.f64 lambda1) 4))
(cos.f64 lambda1)
(*.f64 (/.f64 (cos.f64 lambda1) 4) 4)
(cos.f64 lambda1)
(/.f64 (cos.f64 lambda1) 1)
(cos.f64 lambda1)
(/.f64 (*.f64 (cos.f64 lambda1) 2) 2)
(cos.f64 lambda1)
(/.f64 (*.f64 (cos.f64 lambda1) 4) 4)
(cos.f64 lambda1)
(/.f64 (*.f64 (cos.f64 lambda1) 8) 8)
(cos.f64 lambda1)
(/.f64 (.f64 2 (.f64 (cos.f64 lambda1) 8)) 16)
(cos.f64 lambda1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 lambda1) 8))) 32)
(cos.f64 lambda1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 lambda1) 8)))) 64)
(cos.f64 lambda1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (cos.f64 lambda1) 8))))) 128)
(cos.f64 lambda1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 lambda1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 lambda1) 8)))))) 256)
(cos.f64 lambda1)
(pow.f64 (cos.f64 lambda1) 1)
(cos.f64 lambda1)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 lambda2) (cos.f64 phi1))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	0.1b	(*.f64 phi1 (sin.f64 phi2))
✓	1.6b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1))))

Compiler

Compiled 58 to 13 computations (77.6% saved)

series6.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`exponential.json-3`
1564×	`rational.json-1`
1564×	`rational.json-2`
1564×	`rational.json-4`
1564×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	104	91
2	229	91
3	498	91
4	1039	91
5	2496	91
6	4571	91
7	6553	91

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 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 lambda2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 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 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 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 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 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 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 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 lambda2) (cos.f64 phi1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 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 lambda2) (cos.f64 phi1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 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 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 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 lambda2) (cos.f64 phi1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 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 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 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 lambda2) (cos.f64 phi1)))) (*.f64 R 1/2)) (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 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 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 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 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 lambda2) (cos.f64 phi1)))) (*.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)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))))) (#(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 lambda2) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 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 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 1)))))

simplify282.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2442×	`rational.json-simplify-2`
1834×	`rational.json-simplify-35`
1188×	`rational.json-simplify-51`
1000×	`rational.json-simplify-48`
884×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	5286
1	306	5286
2	763	5286
3	2032	5238
4	4355	5238
5	4877	5238
6	5143	5238
7	5400	5238
8	5981	5238
9	6927	5238

Stop Event

1×	node limit

Counts

154 → 87

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(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))))))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(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))))))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2))
(-.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2) 2)
(.f64 1/4 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4) 4)
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))))) 64)
(pow.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1)
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 0)
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 1/2)))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 0)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (+.f64 R R)) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4)))))) 64)
(pow.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 1)
(+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 0)
(+.f64 0 (*.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 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 0)
(/.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 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 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)))))) 64)
(pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 1)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
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(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4) 1/4)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1/2) 2)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 1/4 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4) 4)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2) 2)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4) 4)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)) 8)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))) 16)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)))) 32)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 4))))) 64)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(pow.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 1)
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (.f64 phi1 (sin.f64 phi2))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 0 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 1/2)) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 1/2)))
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(-.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 0)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (+.f64 R R)) 2)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4)) 4)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4))) 8)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4)))) 16)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 R 4))))) 32)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 R 4)))))) 64)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(pow.f64 (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R) 1)
(.f64 R (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(.f64 R (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 phi1 (sin.f64 phi2)))))
(+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 0 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(*.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 (cos.f64 phi1) (cos.f64 lambda2))
(-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 2)) 2)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)) 4)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))) 8)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)))) 16)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) 4))))) 32)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) 4)))))) 64)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))
(pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi1) (cos.f64 lambda2))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 phi1) phi2)
✓	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
✓	1.0b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series4.0ms (0%)

Counts

2 → 68

Calls

21 calls:

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

rewrite127.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`rational.json-1`
1636×	`rational.json-2`
1636×	`rational.json-4`
1636×	`rational.json-3`
1438×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	103	62
2	230	62
3	508	62
4	1054	62
5	2567	62
6	4836	62
7	6895	62

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2) (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 1/2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)))))

simplify246.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2120×	`rational.json-simplify-2`
1756×	`rational.json-simplify-35`
1114×	`rational.json-simplify-48`
836×	`rational.json-simplify-1`
730×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	4156
1	356	4104
2	785	4006
3	1674	3968
4	3051	3968
5	3890	3968
6	4890	3968
7	6317	3968
8	6971	3968
9	7529	3968

Stop Event

1×	node limit

Counts

102 → 93

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 lambda1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6))))))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) 1/2)
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 1/4)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2) 2)
(.f64 1/4 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 4)
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))))) 64)
(pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 0)
(+.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 1/2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 1/2)))
(-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 0)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 2)) 2)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4)))))) 64)
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi2 (sin.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))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi2 (sin.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))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi2 (sin.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))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(acos.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) phi2)))
(acos.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1 (.f64 (cos.f64 phi2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 (*.f64 lambda1 (cos.f64 phi2)))))
(.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (neg.f64 (sin.f64 lambda2))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) -1/2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda1 2)) -1/2)) (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 (.f64 lambda1 (cos.f64 phi2))))))
(+.f64 (.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 (sin.f64 lambda2) 1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) -1/2)) (cos.f64 lambda2))))
(.f64 (cos.f64 phi2) (+.f64 (neg.f64 (.f64 lambda1 (neg.f64 (sin.f64 lambda2)))) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) -1/2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) 1/6)) (.f64 -1 (.f64 (cos.f64 phi2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))))))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 (.f64 lambda1 (cos.f64 phi2)))) (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3))))) (.f64 (cos.f64 lambda2) (.f64 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 2)) -1/2))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 3) (.f64 (cos.f64 phi2) 1/6)) (.f64 (cos.f64 phi2) (neg.f64 lambda1)))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) -1/2)) (cos.f64 lambda2))))
(+.f64 (.f64 (.f64 lambda1 (cos.f64 phi2)) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)))))))
(+.f64 (.f64 (.f64 lambda1 (cos.f64 phi2)) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 (neg.f64 lambda1) 3)))))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1))))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1))))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1))))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (cos.f64 phi2))
(.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1))))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(*.f64 (cos.f64 phi2) (cos.f64 lambda1))
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(.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
(.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))
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(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (.f64 lambda2 (.f64 (cos.f64 phi2) (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) -1/2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
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(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
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(+.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2))
(*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2)))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (pow.f64 phi2 2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 4) 1/24))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6))))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 4) 1/24)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 6) -1/720)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/720 (pow.f64 phi2 6))))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (*.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 -1/720 (pow.f64 phi2 6))))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/720 (pow.f64 phi2 6))))))
(+.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(+.f64 0 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(-.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 1 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) 1/2)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 4 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 1/4)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1/2) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 1/4 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 4)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 2) 2)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4) 4)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)) 8)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))) 16)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)))) 32)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 4))))) 64)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(pow.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(acos.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 phi2 (sin.f64 phi1))))
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 0)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(+.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 1/2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 1/2)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 0)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 2)) 2)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4)) 4)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))) 8)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4)))) 16)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 4))))) 32)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 4)))))) 64)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 92 to 16 computations (82.6% saved)

series11.0ms (0%)

Counts

3 → 44

Calls

27 calls:

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

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`rational.json-1`
1728×	`rational.json-2`
1522×	`rational.json-simplify-35`
1268×	`exponential.json-3`
1268×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	95	63
2	240	63
3	549	63
4	1172	63
5	3001	63
6	5438	63
7	7626	63

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) lambda1) 1/2))) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda2) (*.f64 (*.f64 (cos.f64 phi1) lambda1) 1/2)) (*.f64 (sin.f64 lambda2) (*.f64 (*.f64 (cos.f64 phi1) lambda1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 4)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 4))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) lambda1) 1/2) (*.f64 (*.f64 (cos.f64 phi1) lambda1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 lambda1 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 lambda1 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 lambda1 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 lambda1 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) lambda1) 1)))))

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2482×	`rational.json-simplify-2`
1966×	`rational.json-simplify-35`
1142×	`rational.json-simplify-48`
1102×	`rational.json-simplify-1`
1090×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	3032
1	483	3002
2	1196	2766
3	2129	2576
4	4316	2576
5	5387	2576
6	5728	2576
7	6052	2576
8	6692	2576

Stop Event

1×	node limit

Counts

80 → 137

Calls

Call 1

Inputs
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) lambda1)))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) lambda1)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 4) lambda1))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) lambda1)))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 6) lambda1)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 4) lambda1)))))))
(.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))) (.f64 -1/5040 (.f64 (pow.f64 lambda2 7) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1)))))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi1) lambda1))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) lambda1))) (.f64 1/120 (.f64 (pow.f64 lambda2 5) (.f64 (cos.f64 phi1) lambda1)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 lambda2 7) (.f64 (cos.f64 phi1) lambda1))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) lambda1))) (.f64 1/120 (.f64 (pow.f64 lambda2 5) (*.f64 (cos.f64 phi1) lambda1))))))
(*.f64 (sin.f64 lambda2) lambda1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 lambda2) lambda1))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
lambda1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) lambda1)) lambda1)
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) lambda1)) lambda1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) lambda1)) lambda1)))
(+.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 0)
(+.f64 0 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2))) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2))))
(-.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 0)
(/.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1)))) 2)
(/.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4))))) 64)
(pow.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 1)
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 0)
(+.f64 0 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2)) (.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2)))
(-.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 0)
(/.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 1)
(/.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1))) 2)
(/.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 lambda1 4))) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4)))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4))))))) 64)
(pow.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 1)
(+.f64 (*.f64 (cos.f64 phi1) lambda1) 0)
(+.f64 0 (*.f64 (cos.f64 phi1) lambda1))
(+.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2))
(-.f64 (*.f64 (cos.f64 phi1) lambda1) 0)
(/.f64 (*.f64 (cos.f64 phi1) lambda1) 1)
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1)) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 lambda1 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 lambda1 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 lambda1 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 lambda1 4)))))) 64)
(pow.f64 (*.f64 (cos.f64 phi1) lambda1) 1)

Outputs
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) lambda1)))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)) (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 2))))))
(.f64 (sin.f64 lambda2) (+.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 -1/2 (.f64 (cos.f64 phi1) (*.f64 lambda1 (pow.f64 phi2 2))))))
(.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda2) (*.f64 lambda1 (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) lambda1)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 4) lambda1))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 2))))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)) (.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 4))) 1/24))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 (sin.f64 lambda2) (+.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 1/24 (.f64 (cos.f64 phi1) (*.f64 lambda1 (pow.f64 phi2 4)))))))
(.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 2)))) (+.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 4)))))))
(.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi2 2)))) (+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi2 4)))))))
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(.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 6)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 lambda1 (pow.f64 phi2 2)))) (+.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 1/24 (.f64 (cos.f64 phi1) (*.f64 lambda1 (pow.f64 phi2 4))))))))
(.f64 (cos.f64 phi2) (.f64 lambda2 (*.f64 (cos.f64 phi1) lambda1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 lambda1 lambda2)))
(.f64 (cos.f64 phi1) (.f64 (*.f64 lambda1 (cos.f64 phi2)) lambda2))
(.f64 (cos.f64 phi1) (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 lambda2 lambda1)))
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(.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
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(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2)))
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(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 lambda1 (.f64 -1/2 (pow.f64 phi1 2))))))
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(.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(.f64 lambda2 (.f64 (cos.f64 phi1) lambda1))
(.f64 (cos.f64 phi1) (.f64 lambda1 lambda2))
(.f64 (cos.f64 phi1) (.f64 lambda2 lambda1))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi1) lambda1))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 lambda2)) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 lambda1 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 lambda1)) (.f64 (cos.f64 phi1) (.f64 (*.f64 lambda1 (pow.f64 lambda2 3)) -1/6)))
(.f64 (.f64 (cos.f64 phi1) lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3))))
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(.f64 (.f64 (cos.f64 phi1) lambda1) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
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(*.f64 (sin.f64 lambda2) lambda1)
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(.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 lambda1 (*.f64 -1/2 (pow.f64 phi1 2)))))
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(.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))))
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(+.f64 (.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi1 4)))) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi1 2))))) (.f64 -1/720 (.f64 (sin.f64 lambda2) (.f64 lambda1 (pow.f64 phi1 6))))))
(+.f64 (.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 (sin.f64 lambda2) (.f64 lambda1 (.f64 (pow.f64 phi1 4) 1/24)))) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi1 6) (.f64 lambda1 -1/720)))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 lambda1 (.f64 -1/2 (pow.f64 phi1 2)))) (+.f64 (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi1 6) (.f64 lambda1 -1/720))) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 lambda1 (*.f64 1/24 (pow.f64 phi1 4)))))))
(+.f64 (.f64 (.f64 (sin.f64 lambda2) lambda1) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2)))) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 phi1 6) (*.f64 lambda1 -1/720)))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
lambda1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) lambda1)) lambda1)
(+.f64 lambda1 (.f64 -1/2 (.f64 lambda1 (pow.f64 phi1 2))))
(+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi1 2) -1/2)))
(+.f64 lambda1 (.f64 lambda1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) lambda1)) lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda1 (pow.f64 phi1 2))) (+.f64 lambda1 (.f64 1/24 (.f64 lambda1 (pow.f64 phi1 4)))))
(+.f64 lambda1 (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 4) 1/24)) (.f64 lambda1 (.f64 (pow.f64 phi1 2) -1/2))))
(+.f64 lambda1 (+.f64 (.f64 lambda1 (.f64 -1/2 (pow.f64 phi1 2))) (.f64 lambda1 (.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) lambda1)) lambda1)))
(+.f64 (.f64 1/24 (.f64 lambda1 (pow.f64 phi1 4))) (+.f64 (.f64 -1/2 (.f64 lambda1 (pow.f64 phi1 2))) (+.f64 lambda1 (.f64 (pow.f64 phi1 6) (.f64 lambda1 -1/720)))))
(+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 2) -1/2)) (+.f64 (+.f64 lambda1 (.f64 (pow.f64 phi1 6) (.f64 lambda1 -1/720))) (.f64 lambda1 (.f64 (pow.f64 phi1 4) 1/24))))
(+.f64 (.f64 lambda1 (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (.f64 lambda1 (.f64 1/24 (pow.f64 phi1 4))) (+.f64 lambda1 (.f64 (pow.f64 phi1 6) (.f64 lambda1 -1/720)))))
(+.f64 (.f64 lambda1 (.f64 1/24 (pow.f64 phi1 4))) (+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (*.f64 -1/2 (pow.f64 phi1 2))))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 0)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(+.f64 0 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2))) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(-.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 0)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1)))) 2)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4) 4)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)) 8)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4))) 16)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)))) 32)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))) 4))))) 64)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(pow.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi2))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 0)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 0 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2)) (.f64 (sin.f64 lambda2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(-.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 0)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1))) 2)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 lambda1 4))) 4)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4)))) 8)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) 16)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4)))))) 32)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 lambda1 4))))))) 64)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(pow.f64 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (*.f64 (cos.f64 phi1) lambda1) 0)
(*.f64 (cos.f64 phi1) lambda1)
(+.f64 0 (*.f64 (cos.f64 phi1) lambda1))
(*.f64 (cos.f64 phi1) lambda1)
(+.f64 (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2) (.f64 (.f64 (cos.f64 phi1) lambda1) 1/2))
(*.f64 (cos.f64 phi1) lambda1)
(-.f64 (*.f64 (cos.f64 phi1) lambda1) 0)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (*.f64 (cos.f64 phi1) lambda1) 1)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 lambda1 lambda1)) 2)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 4)) 4)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 lambda1 4))) 8)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 lambda1 4)))) 16)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (*.f64 lambda1 4))))) 32)
(*.f64 (cos.f64 phi1) lambda1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 lambda1 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 lambda1 4)))))) 64)
(*.f64 (cos.f64 phi1) lambda1)
(pow.f64 (*.f64 (cos.f64 phi1) lambda1) 1)
(*.f64 (cos.f64 phi1) lambda1)

eval258.0ms (0.9%)

Compiler: Compiled 20625 to 8281 computations (59.8% saved)

prune272.0ms (0.9%)

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	709	12	721
Fresh	4	15	19
Picked	1	0	1
Done	2	8	10
Total	716	35	751

Error

14.8b

Counts

751 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(.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)
✓	32.2b	(.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)
	36.0b	(.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)
✓	27.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	32.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) R)
✓	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))) R)
✓	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	44.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) R)
	42.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R)
	51.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (*.f64 (cos.f64 lambda2) -1/2)))))) R)
✓	31.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)
	47.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))) R)
✓	45.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	53.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi2))) R)
	54.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi1))) R)
	54.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi2)))) R)
	59.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (sin.f64 lambda2) (.f64 lambda1 (cos.f64 phi2))))) R)
	43.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	52.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) R)
	49.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	51.9b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R)
	47.5b	(.f64 (acos.f64 (+.f64 (.f64 phi2 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	43.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))) R)
	45.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda2)))) R)
	39.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	53.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
✓	54.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	60.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 phi1))) R)
	56.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R)
	55.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R)
	62.1b	(.f64 (acos.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2)))) R)
	44.5b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
✓	52.0b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
	60.9b	(*.f64 (acos.f64 1) R)
	61.5b	(*.f64 lambda1 R)

Compiler

Compiled 664 to 481 computations (27.6% saved)

regimes334.0ms (1.1%)

Counts

50 → 1

Calls

Call 1

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

10 calls:

48.0ms	R
37.0ms	(-.f64 lambda1 lambda2)
37.0ms	phi1
32.0ms	lambda2
30.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

Results

Error	Segments	Branch
15.6b	1	`R`
15.6b	1	`lambda1`
15.6b	1	`lambda2`
15.6b	1	`phi1`
15.6b	1	`phi2`
15.6b	1	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
15.6b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
15.6b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
15.6b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
15.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 874 to 309 computations (64.6% saved)

regimes632.0ms (2.2%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

7 calls:

132.0ms	(cos.f64 (-.f64 lambda1 lambda2))
126.0ms	phi1
118.0ms	phi2
74.0ms	R
65.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
24.7b	3	`R`
15.6b	2	`lambda1`
15.6b	2	`lambda2`
19.8b	4	`phi1`
19.5b	5	`phi2`
23.6b	7	`(cos.f64 (-.f64 lambda1 lambda2))`
26.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 569 to 201 computations (64.7% saved)

bsearch140.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
139.0ms	1.9970374777395735e-10	2.07664600552559e-5

Results

93.0ms	68×	body	1024	valid
23.0ms	38×	body	512	valid
11.0ms	35×	body	256	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 446 to 330 computations (26% saved)

regimes619.0ms (2.1%)

Counts

38 → 3

Calls

Call 1

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

Outputs

(*.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) 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 lambda2))))) R)

Calls

7 calls:

118.0ms	lambda2
112.0ms	(cos.f64 (-.f64 lambda1 lambda2))
90.0ms	(-.f64 lambda1 lambda2)
88.0ms	phi2
71.0ms	phi1

Results

Error	Segments	Branch
31.1b	1	`R`
22.6b	3	`lambda1`
26.8b	4	`lambda2`
23.1b	3	`phi1`
23.6b	3	`phi2`
27.5b	4	`(cos.f64 (-.f64 lambda1 lambda2))`
29.4b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 552 to 197 computations (64.3% saved)

bsearch272.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	-2.837999822403492e-6	-3.676914405849481e-9
142.0ms	-2.8481588051002545e+99	-2.365854643162818e+95

Results

200.0ms	163×	body	1024	valid
58.0ms	66×	body	512	valid
8.0ms	26×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 760 to 552 computations (27.4% saved)

regimes672.0ms (2.3%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

166.0ms	lambda2
126.0ms	lambda1
97.0ms	R
93.0ms	(-.f64 lambda1 lambda2)
82.0ms	phi2

Results

Error	Segments	Branch
33.8b	4	`R`
32.2b	4	`lambda1`
31.9b	8	`lambda2`
28.1b	3	`phi1`
28.1b	4	`phi2`
31.2b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
30.0b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 518 to 189 computations (63.5% saved)

bsearch336.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
166.0ms	0.11886436743371849	2062210881997907.5
170.0ms	-16263116.424357347	-8042.451757029498

Results

240.0ms	165×	body	1024	valid
37.0ms	12×	body	2048	valid
37.0ms	57×	body	512	valid
17.0ms	54×	body	256	valid

Compiler

Compiled 776 to 568 computations (26.8% saved)

regimes540.0ms (1.9%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

7 calls:

139.0ms	R
91.0ms	lambda1
73.0ms	(-.f64 lambda1 lambda2)
73.0ms	phi2
57.0ms	lambda2

Results

Error	Segments	Branch
34.4b	8	`R`
33.2b	5	`lambda1`
34.1b	3	`lambda2`
28.2b	3	`phi1`
28.2b	4	`phi2`
33.8b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
32.3b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 428 to 164 computations (61.7% saved)

bsearch311.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
169.0ms	0.11886436743371849	2062210881997907.5
141.0ms	-16263116.424357347	-8042.451757029498

Results

212.0ms	162×	body	1024	valid
37.0ms	59×	body	512	valid
27.0ms	11×	body	2048	valid
24.0ms	56×	body	256	valid

Compiler

Compiled 722 to 532 computations (26.3% saved)

regimes419.0ms (1.4%)

Counts

28 → 2

Calls

Call 1

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

99.0ms	R
95.0ms	lambda1
79.0ms	(-.f64 lambda1 lambda2)
41.0ms	phi2
29.0ms	phi1

Results

Error	Segments	Branch
35.6b	6	`R`
33.5b	5	`lambda1`
35.6b	2	`lambda2`
30.1b	2	`phi1`
30.3b	2	`phi2`
38.8b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
37.4b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 382 to 152 computations (60.2% saved)

bsearch155.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
154.0ms	-16263116.424357347	-8042.451757029498

Results

117.0ms	67×	body	1024	valid
13.0ms	20×	body	512	valid
11.0ms	35×	body	256	valid
11.0ms	6×	body	2048	valid

Compiler

Compiled 312 to 232 computations (25.6% saved)

regimes292.0ms (1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

53.0ms	phi2
48.0ms	lambda1
46.0ms	R
41.0ms	phi1
37.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
42.2b	4	`R`
41.9b	2	`lambda1`
41.8b	2	`lambda2`
36.0b	3	`phi1`
36.1b	5	`phi2`
42.0b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
41.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 266 to 123 computations (53.8% saved)

bsearch325.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
162.0ms	7.03505976004997e-143	1.550016854267349e-135
163.0ms	-5.1023543905415135e-14	-2.0424228500082483e-22

Results

200.0ms	159×	body	1024	valid
59.0ms	69×	body	512	valid
32.0ms	10×	body	2048	valid
15.0ms	50×	body	256	valid

Compiler

Compiled 671 to 492 computations (26.7% saved)

regimes241.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

93.0ms	phi2
33.0ms	R
32.0ms	lambda2
29.0ms	lambda1
24.0ms	phi1

Results

Error	Segments	Branch
42.2b	4	`R`
41.4b	3	`lambda1`
42.4b	2	`lambda2`
36.5b	3	`phi1`
38.6b	5	`phi2`
44.5b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
44.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 175 to 100 computations (42.9% saved)

bsearch744.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
138.0ms	1.474258180039823e-91	7.604502885866991e-88
605.0ms	-5.1023543905415135e-14	-2.0424228500082483e-22

Results

467.0ms	47×	body	256	valid
208.0ms	135×	body	1024	valid
47.0ms	80×	body	512	valid
18.0ms	10×	body	2048	valid

Compiler

Compiled 610 to 449 computations (26.4% saved)

regimes138.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

32.0ms	lambda2
25.0ms	(-.f64 lambda1 lambda2)
23.0ms	phi2
21.0ms	phi1
20.0ms	lambda1

Results

Error	Segments	Branch
44.5b	1	`R`
43.1b	3	`lambda1`
42.6b	2	`lambda2`
41.8b	3	`phi1`
41.6b	3	`phi2`
44.5b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
44.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 150 to 90 computations (40% saved)

bsearch337.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
178.0ms	1.203735530046946e-115	6.644133619301927e-107
159.0ms	-9.651127461444982e-169	-1.7059909246102207e-171

Results

261.0ms	175×	body	1024	valid
33.0ms	59×	body	512	valid
29.0ms	11×	body	2048	valid
8.0ms	27×	body	256	valid

Compiler

Compiled 610 to 449 computations (26.4% saved)

regimes106.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

26.0ms	lambda2
19.0ms	phi1
18.0ms	lambda1
18.0ms	phi2
11.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
44.5b	1	`R`
43.1b	3	`lambda1`
42.6b	2	`lambda2`
41.8b	3	`phi1`
43.2b	3	`phi2`
44.5b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
44.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 136 to 86 computations (36.8% saved)

bsearch308.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
161.0ms	5.343137615176592e-180	5.448857604536332e-167
147.0ms	-5.1023543905415135e-14	-2.0424228500082483e-22

Results

193.0ms	159×	body	1024	valid
55.0ms	87×	body	512	valid
30.0ms	15×	body	2048	valid
24.0ms	43×	body	256	valid

Compiler

Compiled 640 to 480 computations (25% saved)

regimes98.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	lambda2
18.0ms	phi2
18.0ms	lambda1
17.0ms	phi1
9.0ms	R

Results

Error	Segments	Branch
44.5b	1	`R`
43.1b	3	`lambda1`
42.6b	2	`lambda2`
43.4b	3	`phi1`
43.4b	3	`phi2`

Compiler

Compiled 107 to 66 computations (38.3% saved)

bsearch122.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
121.0ms	2.07664600552559e-5	0.6924428799809534

Results

90.0ms	68×	body	1024	valid
15.0ms	25×	body	512	valid
10.0ms	33×	body	256	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 288 to 216 computations (25% saved)

regimes59.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	lambda2
17.0ms	phi1
8.0ms	R
5.0ms	phi2
5.0ms	lambda1

Results

Error	Segments	Branch
44.5b	1	`R`
44.5b	1	`lambda1`
43.1b	2	`lambda2`
43.4b	3	`phi1`
44.5b	1	`phi2`

Compiler

Compiled 95 to 61 computations (35.8% saved)

bsearch156.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
156.0ms	2.07664600552559e-5	0.6924428799809534

Results

117.0ms	74×	body	1024	valid
14.0ms	31×	body	256	valid
12.0ms	20×	body	512	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 272 to 208 computations (23.5% saved)

regimes35.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	R
7.0ms	phi1
5.0ms	phi2
4.0ms	lambda2
4.0ms	lambda1

Results

Error	Segments	Branch
44.5b	1	`R`
44.5b	1	`lambda1`
44.5b	1	`lambda2`
44.5b	1	`phi1`
44.5b	1	`phi2`

Compiler

Compiled 75 to 54 computations (28% saved)

regimes22.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes19.0ms (0.1%)

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 (acos.f64 1) R)

Calls

5 calls:

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

Results

Error	Segments	Branch
60.9b	1	`R`
60.9b	1	`lambda1`
60.9b	1	`lambda2`
60.9b	1	`phi1`
60.9b	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	139	1358

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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 lambda2 7791904696734915/2361183241434822606848) (.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))
(if (<=.f64 lambda1 -3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R) (if (<=.f64 lambda1 -6611313076017503/2361183241434822606848) (.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)))
(if (<=.f64 phi1 -34000) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 7600000000) (.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 -8200) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 7926335344172073/36028797018963968) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -8200) (.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 phi1 -2281771080410813/2535301200456458802993406410752) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 8838154641319583/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (.f64 (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi2))) R)))
(if (<=.f64 phi1 -6230756230241793/41538374868278621028243970633760768) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 6719234226533413/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)))
(if (<=.f64 phi2 -4405470967619393/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi2 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)))
(if (<=.f64 phi1 -2466341007804043/2596148429267413814265248164610048) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 2018324372703715/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)))
(if (<=.f64 lambda2 7148113328562451/2305843009213693952) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(if (<=.f64 lambda2 1170935903116329/18014398509481984) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R))
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 1) R)
(*.f64 lambda1 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)
(if (<=.f64 lambda2 7791904696734915/2361183241434822606848) (.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R))
(if (<=.f64 lambda1 -3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) R) (if (<=.f64 lambda1 -6611313076017503/2361183241434822606848) (.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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))) R)))
(if (<=.f64 phi1 -34000) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 7600000000) (.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 -8200) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 7926335344172073/36028797018963968) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 phi1 -8200) (.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 phi1 -2281771080410813/2535301200456458802993406410752) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 8838154641319583/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (.f64 (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 phi2))) R)))
(if (<=.f64 phi1 -6230756230241793/41538374868278621028243970633760768) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 6719234226533413/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 (acos.f64 (+.f64 (.f64 phi2 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R) (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)))
(if (<=.f64 phi2 -4405470967619393/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi2 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R) (.f64 (acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)))
(if (<=.f64 phi1 -2466341007804043/2596148429267413814265248164610048) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (if (<=.f64 phi1 2018324372703715/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 (-.f64 lambda1 lambda2)))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)))
(if (<=.f64 lambda2 7148113328562451/2305843009213693952) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) R))
(if (<=.f64 lambda2 1170935903116329/18014398509481984) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 lambda2))) R))
(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
(*.f64 (acos.f64 (cos.f64 lambda1)) R)
(*.f64 (acos.f64 1) R)
(*.f64 lambda1 R)

Compiler

Compiled 533 to 332 computations (37.7% saved)

soundness219.0ms (0.8%)

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

Compiler

Compiled 62 to 26 computations (58.1% saved)

end132.0ms (0.5%)

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 554 to 203 computations (63.4% saved)