Details

analyze3.4s (2.9%)

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)

sample31.5s (26.6%)

Results

24.9s	5763×	body	1024	valid
3.4s	1431×	body	512	valid
2.2s	250×	body	2048	valid
857.0ms	812×	body	256	valid
1.0ms	1×	body	1024	infinite

Bogosity

preprocess393.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1444×	`rational_best-simplify-64`
728×	`rational_best-simplify-55`
724×	`rational_best-simplify-108`
588×	`rational_best-simplify-1`
560×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	671
1	230	671
2	540	671
3	1570	671
4	6573	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
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 phi1) (.f64 (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 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 (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 R) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.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 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))
(.f64 R (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(.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 phi2) (.f64 (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 (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 lambda2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)))))))
(.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 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 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)

Symmetry

(sort phi1 phi2)

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify543.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

706×	`rational_best-simplify-1`
660×	`rational_best-simplify-53`
614×	`rational_best-simplify-66`
584×	`rational_best-simplify-49`
550×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	43	61
2	89	61
3	235	61
4	944	61
5	5410	61
6	7397	61

Stop Event

1×	node limit

Counts

1 → 2

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)

eval1.0ms (0%)

Compiler: Compiled 43 to 22 computations (48.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

15.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	15.8b	(.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

▶

15.8b

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

▶

15.8b

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize102.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
✓	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
✓	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 99 to 17 computations (82.8% saved)

series51.0ms (0%)

Counts

4 → 132

Calls

39 calls:

Time	Variable		Point	Expression
18.0ms	R	@	0	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
14.0ms	phi1	@	inf	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
1.0ms	phi1	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
1.0ms	phi2	@	inf	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
1.0ms	phi2	@	0	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

rewrite285.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`rational_best-4`
790×	`rational_best-2`
790×	`rational_best-3`
790×	`rational_best-1`
790×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	151	142
2	431	142
3	1695	142

Stop Event

1×	node limit

Counts

4 → 101

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 (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 lambda1 lambda2)))))) R)

Outputs
((#(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)) (neg.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(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)) 2) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))) (-.f64 0 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(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 0) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(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 1/2 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda2 lambda1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (-.f64 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simplify617.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

694×	`rational_best-simplify-55`
686×	`rational_best-simplify-1`
680×	`rational_best-simplify-64`
678×	`rational_best-simplify-52`
642×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	10401
1	773	10295
2	2083	9845

Stop Event

1×	node limit

Counts

233 → 170

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

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

localize146.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 97 to 17 computations (82.5% saved)

series17.0ms (0%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
11.0ms	R	@	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	@	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	lambda2	@	-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	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	R	@	0	(.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)

rewrite528.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`rational_best-4`
706×	`rational_best-2`
706×	`rational_best-3`
706×	`rational_best-1`
706×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	145	116
2	383	116
3	1527	116
4	7999	116

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Inputs

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

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

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

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

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

simplify600.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-48`
1002×	`rational_best-simplify-52`
886×	`rational_best-simplify-51`
874×	`rational_best-simplify-65`
806×	`rational_best-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	7857
1	216	7857
2	580	7857
3	1875	7857

Stop Event

1×	node limit

Counts

135 → 33

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

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

eval369.0ms (0.3%)

Compiler: Compiled 9655 to 3150 computations (67.4% saved)

prune366.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	325	11	336
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	327	11	338

Error

3.7b

Counts

338 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	46.0b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	25.9b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	3.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	31.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) R)
	34.6b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))) R)
▶	30.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	27.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	15.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
▶	27.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	35.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	34.4b	(.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 584 to 416 computations (28.8% saved)

localize180.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 163 to 23 computations (85.9% saved)

series70.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
19.0ms	lambda1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
17.0ms	lambda1	@	-inf	(*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))
10.0ms	lambda2	@	-inf	(*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))
5.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
1.0ms	phi1	@	0	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)

rewrite351.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational_best-4`
1168×	`rational_best-2`
1168×	`rational_best-3`
1168×	`rational_best-1`
1168×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	143
1	201	135
2	570	135
3	2515	135

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify765.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

948×	`rational_best-simplify-75`
940×	`rational_best-simplify-76`
890×	`rational_best-simplify-63`
808×	`rational_best-simplify-55`
672×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	10568
1	528	10508
2	1359	10458
3	4839	10402

Stop Event

1×	node limit

Counts

192 → 144

Calls

Call 1

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

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

localize122.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 phi1 (sin.f64 phi2))
✓	0.2b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.5b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 91 to 16 computations (82.4% saved)

series36.0ms (0%)

Counts

3 → 100

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	lambda2	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	phi1	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	phi2	@	inf	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	lambda1	@	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)))

rewrite553.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`rational_best-simplify-56`
710×	`rational_best-simplify-62`
678×	`rational_best-simplify-81`
486×	`rational_best-simplify-86`
470×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	122	93
2	317	93
3	1084	93
4	5110	93

Stop Event

1×	node limit

Counts

3 → 90

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 phi1 (sin.f64 phi2))

Outputs

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

simplify693.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational_best-simplify-56`
886×	`rational_best-simplify-63`
778×	`rational_best-simplify-62`
558×	`rational_best-simplify-50`
522×	`rational_best-simplify-108`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	376	8918
1	952	8882
2	2544	8578
3	6576	8492

Stop Event

1×	node limit

Counts

190 → 211

Calls

Call 1

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

localize127.0ms (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) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	0.8b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))

Compiler

Compiled 83 to 16 computations (80.7% saved)

series72.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
21.0ms	lambda1	@	-inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
18.0ms	lambda1	@	inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
16.0ms	lambda1	@	0	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
2.0ms	phi1	@	inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
1.0ms	phi2	@	inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))

rewrite573.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`rational_best-4`
714×	`rational_best-2`
714×	`rational_best-3`
714×	`rational_best-1`
714×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	149
1	139	149
2	405	149
3	1555	149
4	7718	149

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (neg.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) (+.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (neg.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) 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simplify825.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-1`
576×	`rational_best-simplify-50`
570×	`rational_best-simplify-62`
474×	`rational_best-simplify-80`
444×	`rational_best-simplify-85`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	9606
1	579	9606
2	1505	9596
3	5490	9526

Stop Event

1×	node limit

Counts

190 → 121

Calls

Call 1

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

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 (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 (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 (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 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 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 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 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 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 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 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 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 (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 (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 (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 (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 (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 (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 (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 (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 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 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 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 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))))
(.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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 (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 (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 (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))))))
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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 lambda1))))))
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(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2) (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2)) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2)))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 1)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 1 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (-.f64 (.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) -1)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2)) 1/4)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2) 1/2)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 1)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (-.f64 (.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) -1)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2)) 4)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2) 2)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 2)))) (neg.f64 (.f64 (.f64 2 (*.f64 (sin.f64 phi2) 2)) (sin.f64 phi1)))) 4)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (-.f64 (.f64 (.f64 2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (neg.f64 (.f64 (.f64 2 (*.f64 (sin.f64 phi2) 2)) (sin.f64 phi1)))) 4)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 2))) 8)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(pow.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) 1)
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(neg.f64 (-.f64 (.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))

localize121.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
✓	1.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))

Compiler

Compiled 90 to 17 computations (81.1% saved)

series66.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
25.0ms	phi2	@	inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))
23.0ms	lambda2	@	-inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))
2.0ms	lambda2	@	inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))
2.0ms	phi1	@	inf	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))
1.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)

rewrite566.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`rational_best-4`
670×	`rational_best-2`
670×	`rational_best-3`
670×	`rational_best-1`
670×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	161
1	143	161
2	383	161
3	1485	161
4	7620	161

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs

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

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

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

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

simplify917.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational_best-simplify-108`
1324×	`rational_best-simplify-1`
538×	`rational_best-simplify-62`
522×	`rational_best-simplify-50`
446×	`rational_best-simplify-85`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	10317
1	574	10317
2	1479	10267
3	5427	10167

Stop Event

1×	node limit

Counts

189 → 121

Calls

Call 1

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

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

localize193.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
✓	5.3b	(cos.f64 (-.f64 phi2 phi1))
✓	5.4b	(cos.f64 (+.f64 phi1 phi2))

Compiler

Compiled 152 to 46 computations (69.7% saved)

series31.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	phi2	@	inf	(cos.f64 (+.f64 phi1 phi2))
1.0ms	phi1	@	0	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi2	@	-inf	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi2	@	inf	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi1	@	inf	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))

rewrite508.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational_best-simplify-62`
714×	`rational_best-simplify-52`
696×	`rational_best-simplify-1`
650×	`rational_best-simplify-51`
612×	`rational_best-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	96	37
2	284	37
3	1134	37
4	7091	37

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

Inputs
(cos.f64 (+.f64 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 phi1 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (/.f64 (cos.f64 (-.f64 (neg.f64 phi1) phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi2) (sin.f64 (neg.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi2) (sin.f64 (neg.f64 phi1))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4) (/.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4) (*.f64 3 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 3) 4) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) (/.f64 (cos.f64 (-.f64 phi2 phi1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) (+.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (/.f64 (cos.f64 (-.f64 phi2 phi1)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (/.f64 (*.f64 (sin.f64 phi2) (sin.f64 (neg.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4))) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (-.f64 phi2 phi1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (-.f64 phi2 phi1)) 2))))) (#(struct:change 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(*.f64 (cos.f64 (-.f64 phi2 phi1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 phi2 phi1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) (*.f64 2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (-.f64 (cos.f64 (-.f64 (neg.f64 phi1) phi2)) (cos.f64 (+.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (-.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (cos.f64 0)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 phi2 phi1))))))))

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

simplify744.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational_best-simplify-57`
1166×	`rational_best-simplify-1`
1126×	`rational_best-simplify-51`
1012×	`rational_best-simplify-63`
884×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	8207
1	1219	7585
2	3443	6409

Stop Event

1×	node limit

Counts

273 → 375

Calls

Call 1

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

Outputs
(cos.f64 phi2)
(+.f64 (.f64 -1 (.f64 phi1 (sin.f64 phi2))) (cos.f64 phi2))
(+.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi2) (neg.f64 phi1)))
(+.f64 (cos.f64 phi2) (*.f64 phi1 (neg.f64 (sin.f64 phi2))))
(+.f64 (.f64 -1 (.f64 phi1 (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) -1/2)) (+.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi2) (neg.f64 phi1))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (.f64 -1/2 (pow.f64 phi1 2))) (*.f64 phi1 (neg.f64 (sin.f64 phi2)))))
(+.f64 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (.f64 (cos.f64 phi2) (-.f64 (*.f64 -1/2 (pow.f64 phi1 2)) -1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))))))
(+.f64 (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) -1/2))) (+.f64 (.f64 (sin.f64 phi2) (neg.f64 phi1)) (.f64 (sin.f64 phi2) (*.f64 (pow.f64 phi1 3) 1/6))))
(+.f64 (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 -1/2 (pow.f64 phi1 2)))) (+.f64 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (.f64 (sin.f64 phi2) (*.f64 1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/2 (pow.f64 phi1 2)) -1)) (.f64 (sin.f64 phi2) (+.f64 (neg.f64 phi1) (.f64 1/6 (pow.f64 phi1 3)))))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 phi1)
(+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))
(+.f64 (cos.f64 phi1) (.f64 phi2 (.f64 (sin.f64 phi1) -1)))
(+.f64 (cos.f64 phi1) (*.f64 phi2 (neg.f64 (sin.f64 phi1))))
(+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 phi1) -1)) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2)))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) (.f64 (cos.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2))))
(+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (cos.f64 phi1) (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (.f64 phi2 (.f64 (sin.f64 phi1) -1)) (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (cos.f64 phi1))))
(+.f64 (cos.f64 phi1) (+.f64 (+.f64 (.f64 phi2 (neg.f64 (sin.f64 phi1))) (.f64 1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)))) (.f64 (cos.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2)))))
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(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 (-.f64 phi1 (*.f64 -1 phi2)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 (-.f64 phi1 (*.f64 -1 phi2)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
(cos.f64 (-.f64 phi1 (neg.f64 phi2)))
(cos.f64 (-.f64 phi1 (*.f64 -1 phi2)))
(cos.f64 (-.f64 phi2 (neg.f64 phi1)))
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(cos.f64 (neg.f64 (+.f64 phi1 (neg.f64 phi2))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(cos.f64 (neg.f64 (+.f64 phi1 (*.f64 phi2 -1))))
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(*.f64 (sin.f64 phi2) (neg.f64 (sin.f64 (neg.f64 phi1))))
(.f64 (/.f64 (sin.f64 phi1) 2) (.f64 2 (sin.f64 phi2)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(.f64 (/.f64 (sin.f64 phi2) 2) (.f64 2 (sin.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(/.f64 (.f64 2 (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(/.f64 (*.f64 (sin.f64 phi2) (sin.f64 (neg.f64 phi1))) -1)
(neg.f64 (*.f64 (sin.f64 phi2) (sin.f64 (neg.f64 phi1))))
(*.f64 (sin.f64 phi2) (neg.f64 (sin.f64 (neg.f64 phi1))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) 4)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(/.f64 (.f64 -2 (.f64 2 (.f64 -2 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 8)
(/.f64 (.f64 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2)) -4) 8)
(/.f64 (.f64 -4 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2))) 8)
(/.f64 (.f64 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2)) -8) 16)
(/.f64 (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1)))) 2)
(+.f64 (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (/.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1)))) 2)
(/.f64 (+.f64 (.f64 -2 (.f64 2 (.f64 -2 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) (.f64 -2 (.f64 2 (.f64 -2 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))) 16)
(/.f64 (.f64 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2)) -4) 8)
(/.f64 (.f64 -4 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2))) 8)
(/.f64 (.f64 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2)) -8) 16)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1)))) (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1))))) 4)
(+.f64 (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (/.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1)))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1)))) (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) phi2) (-.f64 (/.f64 (PI.f64) 2) phi1)))) 2)
(/.f64 (.f64 2 (.f64 -2 (.f64 2 (.f64 -2 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) 16)
(/.f64 (.f64 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2)) -4) 8)
(/.f64 (.f64 -4 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2))) 8)
(/.f64 (.f64 (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi1) -2)) -8) 16)
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 4)
(+.f64 (cos.f64 (-.f64 phi2 phi1)) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (cos.f64 (-.f64 phi2 phi1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1))))
(*.f64 (sin.f64 phi2) (sin.f64 phi1))
(neg.f64 (*.f64 (sin.f64 phi2) (sin.f64 (neg.f64 phi1))))
(*.f64 (sin.f64 phi2) (neg.f64 (sin.f64 (neg.f64 phi1))))

eval3.2s (2.7%)

Compiler: Compiled 42512 to 14561 computations (65.7% saved)

prune2.5s (2.2%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	1263	39	1302
Fresh	5	1	6
Picked	1	0	1
Done	2	2	4
Total	1271	42	1313

Error

3.7b

Counts

1313 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (-.f64 (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))) R)
	27.4b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (-.f64 (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))) R)
	38.0b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) R)
	34.5b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) R)
	34.6b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2) (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) R)
	34.6b	(.f64 (acos.f64 (-.f64 (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2) (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2)) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (/.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2)))) R)
	30.2b	(.f64 (acos.f64 (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) 2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	27.4b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 2))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	53.1b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	49.7b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
▶	39.9b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	25.9b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (+.f64 -1 (-.f64 (cos.f64 (+.f64 phi2 phi1)) -1)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.0b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi2) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
▶	35.9b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	35.7b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (neg.f64 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	26.4b	(.f64 (acos.f64 (+.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	34.4b	(.f64 (acos.f64 (+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 phi2) (neg.f64 phi1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	3.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	26.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (neg.f64 lambda2)))))) R)
✓	30.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	27.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	27.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
▶	42.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	29.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	42.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	49.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
	46.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	49.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
	45.5b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (*.f64 phi1 (sin.f64 phi2)))) R)
	40.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	37.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 phi2) 2)) 4))) R)
	26.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	43.8b	(.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)
	47.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))) R)
	45.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	40.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
	44.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
▶	25.8b	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	45.8b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) R)
	41.7b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
	45.3b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R)
▶	42.1b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)

Compiler

Compiled 2194 to 1546 computations (29.5% saved)

localize120.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	0.5b	(acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 117 to 29 computations (75.2% saved)

series31.0ms (0%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	lambda2	@	-inf	(acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
1.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
1.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
1.0ms	lambda1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
1.0ms	phi1	@	inf	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)

rewrite721.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational_best-simplify-1`
1104×	`rational_best-simplify-3`
888×	`rational_best-simplify-56`
796×	`rational_best-simplify-62`
506×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	136
1	152	136
2	353	116
3	1214	76
4	5993	76

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs

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

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

simplify646.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1058×	`rational_best-simplify-48`
958×	`rational_best-simplify-52`
828×	`rational_best-simplify-65`
796×	`rational_best-simplify-51`
694×	`rational_best-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	8391
1	217	8391
2	580	8391
3	1836	8391

Stop Event

1×	node limit

Counts

135 → 38

Calls

Call 1

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

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 phi1)
✓	0.1b	(*.f64 (cos.f64 phi1) (cos.f64 lambda1))
✓	0.2b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
✓	1.4b	(acos.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series19.0ms (0%)

Counts

4 → 20

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	lambda1	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
1.0ms	R	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
1.0ms	phi1	@	0	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
0.0ms	lambda1	@	-inf	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
0.0ms	phi1	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)

rewrite372.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`rational_best-simplify-51`
1236×	`rational_best-simplify-57`
1132×	`rational_best-4`
1132×	`rational_best-2`
1132×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	77	64
2	194	64
3	620	64
4	2542	64

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify433.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational_best-simplify-47`
1002×	`rational_best-simplify-64`
974×	`rational_best-simplify-66`
854×	`rational_best-simplify-51`
830×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	2410
1	776	2334
2	2402	2314

Stop Event

1×	node limit

Counts

134 → 159

Calls

Call 1

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

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

localize94.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite341.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`rational_best-simplify-1`
918×	`rational_best-simplify-62`
616×	`rational_best-4`
616×	`rational_best-2`
616×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	119
1	118	119
2	351	119
3	1359	47
4	7163	47

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify378.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

682×	`rational_best-simplify-50`
564×	`rational_best-simplify-1`
556×	`rational_best-simplify-51`
548×	`rational_best-simplify-3`
518×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	6874
1	764	6874
2	2204	3138

Stop Event

1×	node limit

Counts

176 → 140

Calls

Call 1

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

Outputs
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
(acos.f64 (cos.f64 (-.f64 phi1 phi2)))
(acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2))))
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(cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 phi1 1)) (+.f64 1 (-.f64 phi2 (.f64 1/2 (PI.f64))))))
(cos.f64 (+.f64 (-.f64 phi2 (.f64 1/2 (PI.f64))) (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 phi1 1)))))
(cos.f64 (+.f64 1 (-.f64 (+.f64 phi2 phi2) (+.f64 phi2 (+.f64 phi1 1)))))
(-.f64 (.f64 (cos.f64 (-.f64 -1 phi1)) (cos.f64 (+.f64 phi2 1))) (.f64 (sin.f64 (-.f64 -1 phi1)) (sin.f64 (+.f64 phi2 1))))
(cos.f64 (+.f64 (-.f64 -1 phi1) (+.f64 phi2 1)))
(cos.f64 (+.f64 phi2 (+.f64 1 (-.f64 -1 phi1))))
(-.f64 (.f64 (cos.f64 (+.f64 -1 (-.f64 phi2 (.f64 (PI.f64) 1/2)))) (cos.f64 (-.f64 1 (-.f64 phi1 (.f64 (PI.f64) 1/2))))) (.f64 (sin.f64 (+.f64 -1 (-.f64 phi2 (.f64 (PI.f64) 1/2)))) (sin.f64 (-.f64 1 (-.f64 phi1 (.f64 (PI.f64) 1/2))))))
(cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 phi1 1)) (+.f64 1 (-.f64 phi2 (.f64 1/2 (PI.f64))))))
(cos.f64 (+.f64 (-.f64 phi2 (.f64 1/2 (PI.f64))) (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 phi1 1)))))
(cos.f64 (+.f64 1 (-.f64 (+.f64 phi2 phi2) (+.f64 phi2 (+.f64 phi1 1)))))
(-.f64 (.f64 (cos.f64 (+.f64 phi2 -1)) (cos.f64 (-.f64 1 phi1))) (.f64 (sin.f64 (+.f64 phi2 -1)) (sin.f64 (-.f64 1 phi1))))
(cos.f64 (+.f64 (-.f64 -1 phi1) (+.f64 phi2 1)))
(cos.f64 (+.f64 phi2 (+.f64 1 (-.f64 -1 phi1))))
(*.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 2 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 0))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 -1 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (.f64 2 (cos.f64 (-.f64 phi1 phi2))) 1/2)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (.f64 2 (cos.f64 (-.f64 phi1 phi2))) (/.f64 (cos.f64 0) 2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 -2 (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 1/2 (.f64 2 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 1/4 (.f64 2 (*.f64 2 (cos.f64 (-.f64 phi1 phi2)))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 2 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) -1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (.f64 2 (*.f64 2 (cos.f64 (-.f64 phi1 phi2)))) 1/4)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (*.f64 2 (cos.f64 (-.f64 phi1 phi2))) 2)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) -1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (.f64 2 (.f64 2 (cos.f64 (-.f64 phi1 phi2)))) 4)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 2 (.f64 2 (cos.f64 (-.f64 phi1 phi2))))) 8)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) (cos.f64 0)) -1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) (+.f64 (cos.f64 0) (cos.f64 0))) -2)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(pow.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(neg.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (-.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2))))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (sin.f64 phi2)))
(cos.f64 (-.f64 phi2 phi1))
(sin.f64 (+.f64 phi2 (-.f64 (*.f64 (PI.f64) 1/2) phi1)))
(sin.f64 (+.f64 phi2 (-.f64 (*.f64 1/2 (PI.f64)) phi1)))
(sin.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) phi2)))
(sin.f64 (+.f64 phi1 (-.f64 (*.f64 1/2 (PI.f64)) phi2)))

localize184.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	1.2b	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
	5.3b	(cos.f64 (-.f64 phi2 phi1))

Compiler

Compiled 135 to 44 computations (67.4% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	phi2	@	0	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))
1.0ms	phi1	@	-inf	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))
0.0ms	phi1	@	0	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))
0.0ms	phi1	@	inf	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))
0.0ms	phi2	@	inf	(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))

rewrite252.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`rational_best-2`
608×	`rational_best-3`
608×	`rational_best-1`
606×	`rational_best-4`
606×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	147	94
2	371	94
3	1416	94

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

(-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2))

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

Outputs

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

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

simplify599.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1174×	`rational_best-simplify-66`
1100×	`rational_best-simplify-57`
1088×	`rational_best-simplify-56`
932×	`rational_best-simplify-3`
780×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	7203
1	538	6697
2	1272	6585
3	3754	6095

Stop Event

1×	node limit

Counts

131 → 102

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (.f64 1/2 (cos.f64 (neg.f64 phi1)))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 phi1)))) (.f64 1/2 (cos.f64 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sin.f64 (neg.f64 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 phi1)))) (.f64 1/2 (cos.f64 (neg.f64 phi1)))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (*.f64 1/2 (cos.f64 phi2)) 1/2)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 (sin.f64 phi2)))) 1/2)
(-.f64 (+.f64 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi2))) (pow.f64 phi1 2)) (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 (sin.f64 phi2))))) 1/2)
(-.f64 (+.f64 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi2))) (pow.f64 phi1 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 (sin.f64 phi2)))))) 1/2)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1))))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1))))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1))))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1))))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi1) phi2)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))
(+.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2) (/.f64 (cos.f64 phi1) -2))
(+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) 0)
(+.f64 0 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2))
(+.f64 (/.f64 (cos.f64 phi1) -2) (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2))
(+.f64 (/.f64 (cos.f64 phi1) -2) (neg.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) -2)))
(+.f64 (/.f64 (cos.f64 phi1) -2) (/.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) -2) -1))
(+.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (+.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (/.f64 (cos.f64 phi1) -2)))
(+.f64 (+.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2) (/.f64 (cos.f64 phi1) -4)) (/.f64 (cos.f64 phi1) -4))
(+.f64 (/.f64 (cos.f64 phi1) -4) (+.f64 (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2) (/.f64 (cos.f64 phi1) -4)))
(+.f64 (/.f64 (cos.f64 phi1) -4) (neg.f64 (-.f64 (/.f64 (cos.f64 phi1) 4) (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2))))
(+.f64 (/.f64 (cos.f64 phi1) -4) (/.f64 (-.f64 (/.f64 (cos.f64 phi1) 4) (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2)) -1))
(+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)) 4) (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)) 4))
(+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)) 4) (neg.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 4)))
(+.f64 (+.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (/.f64 (cos.f64 phi1) -2)) (/.f64 (cos.f64 (-.f64 phi2 phi1)) 4))
(+.f64 (+.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (/.f64 (cos.f64 phi1) -2)) (neg.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) -4)))
(+.f64 (-.f64 0 (/.f64 (cos.f64 (-.f64 phi2 phi1)) -2)) (/.f64 (cos.f64 phi1) -2))
(+.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (*.f64 (cos.f64 phi1) 1/2)) (/.f64 (cos.f64 (-.f64 phi2 phi1)) -2))
(+.f64 (/.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) -2) -1) (/.f64 (cos.f64 phi1) -2))
(+.f64 (/.f64 (-.f64 (/.f64 (cos.f64 phi1) 4) (*.f64 (cos.f64 (-.f64 phi2 phi1)) 1/2)) -1) (/.f64 (cos.f64 phi1) -4))
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 phi1) 1/2) (/.f64 (cos.f64 (-.f64 phi2 phi1)) -4)) -1) (/.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) -4) -1))
(+.f64 (/.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 4) -1) (/.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 4) -1))
(+.f64 (/.f64 (/.f64 (cos.f64 phi1) -2) 2) (/.f64 (+.f64 (/.f64 (cos.f64 phi1) -2) (cos.f64 (-.f64 phi2 phi1))) 2))
(*.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) 1)
(*.f64 1 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2))
(.f64 (.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 1/2) -1)
(*.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)) 1/2)
(.f64 (.f64 -2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) 1/4)
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(.f64 1/4 (.f64 -2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))))
(.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (*.f64 (cos.f64 phi1) 4)) 1/8)
(/.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) 1)
(/.f64 (*.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 1/2) -1)
(/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)) 2)
(/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2)
(/.f64 (*.f64 -2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) 4)
(/.f64 (*.f64 2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) -4)
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 (cos.f64 phi1) 4)) 8)
(/.f64 (-.f64 (.f64 (cos.f64 phi1) 4) (.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) -8)
(/.f64 (/.f64 (*.f64 2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) -1) 4)
(/.f64 (/.f64 (-.f64 (.f64 (cos.f64 phi1) 4) (.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) -1) 8)
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 (cos.f64 phi1) 4)) (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 (cos.f64 phi1) 4))) 16)
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) (.f64 2 (.f64 (cos.f64 phi1) 4))) 16)
(pow.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) 1)
(neg.f64 (*.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 1/2))
(+.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(+.f64 0 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 (/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 2) (/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 2))
(-.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(-.f64 (/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 2) (/.f64 (neg.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(.f64 1 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2)
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) 1/4)
(/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(/.f64 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))) 2)
(/.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) 8)
(pow.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1)

Outputs
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (.f64 1/2 (cos.f64 (neg.f64 phi1)))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 -1/2 (*.f64 (sin.f64 (neg.f64 phi1)) phi2))))
(-.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (*.f64 (sin.f64 (neg.f64 phi1)) phi2) 1/2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 phi1)))) (.f64 1/2 (cos.f64 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (.f64 (cos.f64 (neg.f64 phi1)) (.f64 (pow.f64 phi2 2) -1/4)))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (.f64 (cos.f64 (neg.f64 phi1)) (.f64 -1/4 (pow.f64 phi2 2))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (.f64 (cos.f64 (neg.f64 phi1)) (+.f64 1/2 (.f64 -1/4 (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sin.f64 (neg.f64 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 phi1)))) (.f64 1/2 (cos.f64 (neg.f64 phi1)))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (.f64 (cos.f64 (neg.f64 phi1)) (.f64 (pow.f64 phi2 2) -1/4)))) (.f64 1/12 (.f64 (sin.f64 (neg.f64 phi1)) (pow.f64 phi2 3)))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 phi1))) (.f64 (cos.f64 (neg.f64 phi1)) (.f64 -1/4 (pow.f64 phi2 2)))) (.f64 (sin.f64 (neg.f64 phi1)) (.f64 (pow.f64 phi2 3) 1/12)))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 phi1)) phi2)) (+.f64 (.f64 (cos.f64 (neg.f64 phi1)) (+.f64 1/2 (.f64 -1/4 (pow.f64 phi2 2)))) (.f64 (sin.f64 (neg.f64 phi1)) (.f64 1/12 (pow.f64 phi2 3))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 phi1)) (+.f64 1/2 (.f64 -1/4 (pow.f64 phi2 2)))) (.f64 (sin.f64 (neg.f64 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 1/12 (pow.f64 phi2 3))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi2) phi1)))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(-.f64 (*.f64 1/2 (cos.f64 phi2)) 1/2)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 (sin.f64 phi2)))) 1/2)
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) 1/2)
(+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) -1/2)
(-.f64 (+.f64 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi2))) (pow.f64 phi1 2)) (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 (sin.f64 phi2))))) 1/2)
(-.f64 (+.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 (+.f64 1/4 (*.f64 -1/4 (cos.f64 phi2))) (pow.f64 phi1 2))) 1/2)
(-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi2))) (pow.f64 phi1 2))) 1/2)
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(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)) 2)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (*.f64 -2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) 4)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (*.f64 2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) -4)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 (cos.f64 phi1) 4)) 8)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (-.f64 (.f64 (cos.f64 phi1) 4) (.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) -8)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (/.f64 (*.f64 2 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1)))) -1) 4)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (/.f64 (-.f64 (.f64 (cos.f64 phi1) 4) (.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) -1) 8)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 (cos.f64 phi1) 4)) (-.f64 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4) (.f64 (cos.f64 phi1) 4))) 16)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 (-.f64 phi2 phi1)) 4)) (.f64 2 (.f64 (cos.f64 phi1) 4))) 16)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(pow.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) 1)
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(neg.f64 (*.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) 1/2))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))) (.f64 1/2 (cos.f64 phi1)))
(*.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1)))
(+.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(+.f64 0 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(+.f64 (/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 2) (/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 2))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(-.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(-.f64 (/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 2) (/.f64 (neg.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(.f64 1 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(.f64 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))) 1/2)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) 1/4)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))) 2)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) 4)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 2 (.f64 2 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) 8)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))
(pow.f64 (acos.f64 (+.f64 (/.f64 (-.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 phi1))) -2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 phi1))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (*.f64 1/2 (cos.f64 (-.f64 phi2 phi1)))))

localize183.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(acos.f64 (+.f64 (-.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.8b	(-.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
	5.4b	(cos.f64 (+.f64 phi1 phi2))

Compiler

Compiled 173 to 47 computations (72.8% saved)

series30.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	phi2	@	0	(-.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi2	@	inf	(-.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi2	@	-inf	(-.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi1	@	-inf	(-.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
1.0ms	phi1	@	inf	(-.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))

rewrite266.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`rational_best-simplify-51`
884×	`rational_best-simplify-57`
868×	`rational_best-4`
868×	`rational_best-2`
868×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
1	179	126
2	490	126
3	1964	126

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify599.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational_best-simplify-55`
908×	`rational_best-simplify-50`
898×	`rational_best-simplify-47`
682×	`rational_best-simplify-64`
664×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	9814
1	712	9186
2	1822	9102
3	6578	8854

Stop Event

1×	node limit

Counts

142 → 135

Calls

Call 1

Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) 1/2) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 1/2 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi1))) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 -1/12 phi1) (.f64 1/12 (sin.f64 phi1))) (pow.f64 phi2 3)) (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi1))) (pow.f64 phi2 2)))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(.f64 phi1 (-.f64 (.f64 1/2 (sin.f64 phi2)) (*.f64 -1/2 (sin.f64 phi2))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (.f64 phi1 (-.f64 (.f64 1/2 (sin.f64 phi2)) (*.f64 -1/2 (sin.f64 phi2)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (.f64 phi1 (-.f64 (.f64 1/2 (sin.f64 phi2)) (*.f64 -1/2 (sin.f64 phi2))))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))) (+.f64 (.f64 phi1 (-.f64 (.f64 1/2 (sin.f64 phi2)) (.f64 -1/2 (sin.f64 phi2)))) (.f64 -1/48 (*.f64 (pow.f64 phi1 4) (cos.f64 phi2))))))
(.f64 1/2 (.f64 phi1 (sin.f64 phi2)))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (.f64 phi1 (sin.f64 phi2)))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 1/2 (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
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(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
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(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
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(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
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(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2) (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 1/2))
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(+.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4) (+.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2)))
(+.f64 (/.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) 1/2))
(+.f64 (/.f64 (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))) 2) (neg.f64 (/.f64 (cos.f64 phi2) -2)))
(+.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 1/2) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4)) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4))
(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4) (+.f64 (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 1/2) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4)))
(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4) (neg.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -2))))
(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4) (/.f64 (+.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))))) 4))
(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4) (/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -2)) -1))
(+.f64 (-.f64 (.f64 (cos.f64 phi2) 1/2) (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4)) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (.f64 (sin.f64 phi2) (+.f64 phi1 phi1))) 4)))
(+.f64 (+.f64 (.f64 (.f64 phi1 (sin.f64 phi2)) 1/2) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4)) (neg.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (/.f64 (cos.f64 phi2) -2))))
(+.f64 (/.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 4) (/.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 4))
(+.f64 (/.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 4) (neg.f64 (/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2))) 4)))
(+.f64 (+.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2)) (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4))
(+.f64 (+.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2)) (neg.f64 (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) -4)))
(+.f64 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (.f64 (cos.f64 (+.f64 phi2 phi1)) 1/2)) (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -2))
(+.f64 (-.f64 0 (/.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) 2)) (neg.f64 (/.f64 (*.f64 phi1 (sin.f64 phi2)) -2)))
(+.f64 (/.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2) 2) (/.f64 (.f64 1/2 (+.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))))) 2))
(+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -2) -1) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2))
(+.f64 (/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -2)) -1) (/.f64 (cos.f64 (+.f64 phi2 phi1)) -4))
(+.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) 2) -1) (/.f64 (/.f64 (*.f64 phi1 (sin.f64 phi2)) -2) -1))
(+.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (*.f64 phi1 (sin.f64 phi2))) 2) -1) (/.f64 (/.f64 (cos.f64 phi2) -2) -1))
(+.f64 (/.f64 (+.f64 (.f64 (cos.f64 (+.f64 phi2 phi1)) 1/2) (/.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) -4)) -1) (/.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -4) -1))
(+.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (*.f64 (sin.f64 phi2) (+.f64 phi1 phi1))) 4) -1) (/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (/.f64 (cos.f64 phi2) -2)) -1))
(+.f64 (/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (/.f64 (cos.f64 phi2) -2)) -1) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (*.f64 (sin.f64 phi2) (+.f64 phi1 phi1))) 4) -1))
(+.f64 (/.f64 (/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2))) 4) -1) (/.f64 (/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2))) 4) -1))
(.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) 1)
(.f64 1 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2))
(.f64 (.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))) 1/2) -1)
(.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2)
(.f64 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))))) 1/4)
(.f64 1/2 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))))
(.f64 1/4 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))))))
(.f64 (.f64 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))))) 2) 1/8)
(.f64 (-.f64 (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4) (.f64 (cos.f64 (+.f64 phi2 phi1)) 4)) 1/8)
(/.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) 1)
(/.f64 (.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2))) 1/2) -1)
(/.f64 (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (*.f64 phi1 (sin.f64 phi2))) -2)
(/.f64 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))))) 4)
(/.f64 (neg.f64 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))))) -4)
(/.f64 (.f64 2 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2)))) -4)
(/.f64 (.f64 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1))))) 2) 8)
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 4)) -8)
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4) (*.f64 (cos.f64 (+.f64 phi2 phi1)) 4)) 8)
(/.f64 (/.f64 (neg.f64 (.f64 2 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))))) -1) 4)
(/.f64 (/.f64 (.f64 2 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2)))) -1) 4)
(/.f64 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi2 phi1)) 4) (.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) 4)) -1) 8)
(/.f64 (-.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 4)) (.f64 2 (*.f64 (cos.f64 (+.f64 phi2 phi1)) 4))) 16)
(pow.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) 1)
(neg.f64 (.f64 (-.f64 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 phi2)) (.f64 phi1 (sin.f64 phi2))) 1/2))
(+.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(+.f64 (/.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) (/.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2))
(-.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 0)
(-.f64 (/.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 2) (/.f64 (neg.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 1/2)
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1/4)
(/.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)
(/.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 4)
(pow.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)

Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) 1/2) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 1/2 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 (.f64 1/2 (cos.f64 phi1)) -1/2))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 1/2 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi1))) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 1/2 (.f64 -1 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) -1/4)) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (.f64 (pow.f64 phi2 2) (neg.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) -1/4)))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (-.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 -1/2 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) -1/4)) (pow.f64 phi2 2)))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 -1/12 phi1) (.f64 1/12 (sin.f64 phi1))) (pow.f64 phi2 3)) (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 phi1))) (pow.f64 phi2 2)))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 1/2 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) -1/4)) (pow.f64 phi2 2))) (.f64 (-.f64 (.f64 phi1 -1/12) (.f64 (sin.f64 phi1) 1/12)) (pow.f64 phi2 3))))) (.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 (.f64 (pow.f64 phi2 2) (neg.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) -1/4)))) (.f64 (-.f64 (.f64 phi1 -1/12) (.f64 (sin.f64 phi1) 1/12)) (pow.f64 phi2 3))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 phi1 -1/12) (.f64 (sin.f64 phi1) 1/12)) (pow.f64 phi2 3)) (-.f64 (.f64 phi2 (-.f64 (.f64 1/2 phi1) (.f64 -1/2 (sin.f64 phi1)))) (+.f64 -1/2 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) -1/4)) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 phi2 -1)))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 phi2 -1)))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 phi2 -1)))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2)))))
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(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2)))))
(.f64 phi1 (-.f64 (.f64 1/2 (sin.f64 phi2)) (*.f64 -1/2 (sin.f64 phi2))))
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(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
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(.f64 1/2 (.f64 phi1 (sin.f64 phi2)))
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(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 phi2 -1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 phi2 -1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 phi2 -1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi1 (neg.f64 phi2))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 phi1 -1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (neg.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 phi1 -1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (neg.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 phi1 -1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (neg.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 phi1 -1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (neg.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1)))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1)))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1)))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1)))))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
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(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))))
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(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
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(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2) (.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) 1/2))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
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(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2))))
(.f64 -1/2 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))))
(+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2) (/.f64 (/.f64 (+.f64 (cos.f64 phi2) (*.f64 phi1 (sin.f64 phi2))) -2) -1))
(-.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
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(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(.f64 1 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 1/2)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 1/4)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(/.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))) 2)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(/.f64 (.f64 2 (.f64 2 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) 4)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))
(pow.f64 (acos.f64 (+.f64 (.f64 (+.f64 (cos.f64 phi2) (-.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (+.f64 phi2 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
(acos.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2))) (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(acos.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 (.f64 phi1 (sin.f64 phi2)) (-.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 phi2))) -1/2)))

eval1.5s (1.3%)

Compiler: Compiled 38416 to 14672 computations (61.8% saved)

prune2.2s (1.9%)

Pruning

63 alts after pruning (59 fresh and 4 done)

	Pruned	Kept	Total
New	1231	28	1259
Fresh	4	31	35
Picked	1	0	1
Done	2	4	6
Total	1238	63	1301

Error

3.6b

Counts

1301 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	42.1b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (-.f64 (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))) R)
	30.2b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (-.f64 (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))) R)
	42.1b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (-.f64 (.f64 (sin.f64 phi2) (neg.f64 (sin.f64 phi1))) (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))) R)
▶	38.0b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) R)
	34.5b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) R)
	47.1b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2) (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	34.6b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2) (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) R)
	34.6b	(.f64 (acos.f64 (-.f64 (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2) (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2)) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (/.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2)))) R)
	48.1b	(.f64 (acos.f64 (-.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (cos.f64 (+.f64 phi1 phi2)))) R)
	30.2b	(.f64 (acos.f64 (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) 2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	50.5b	(.f64 (acos.f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 (.f64 (PI.f64) 1/2)))))) R)
	47.9b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 1))) (cos.f64 (+.f64 1 (-.f64 phi2 (.f64 (PI.f64) 1/2))))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 1))) (sin.f64 (+.f64 1 (-.f64 phi2 (*.f64 (PI.f64) 1/2))))))) R)
	48.0b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 phi2)) (cos.f64 (+.f64 phi1 1))) (*.f64 (sin.f64 (-.f64 -1 phi2)) (sin.f64 (+.f64 phi1 1))))) R)
	47.9b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi2 -1)) (cos.f64 (-.f64 1 phi1))) (*.f64 (sin.f64 (+.f64 phi2 -1)) (sin.f64 (-.f64 1 phi1))))) R)
	27.4b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 2))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	48.9b	(.f64 (acos.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) -2))) R)
	53.1b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	57.9b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	49.7b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	46.8b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	25.9b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (+.f64 -1 (-.f64 (cos.f64 (+.f64 phi2 phi1)) -1)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.0b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi2) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	42.1b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	35.7b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (neg.f64 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.3b	(.f64 (acos.f64 (+.f64 (-.f64 (.f64 1/2 (cos.f64 phi2)) 1/2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.2b	(.f64 (acos.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	34.4b	(.f64 (acos.f64 (+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 phi2) (neg.f64 phi1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	3.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	26.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (neg.f64 lambda2)))))) R)
✓	30.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	27.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
✓	42.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	29.0b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	42.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
▶	49.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
	46.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	49.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
	45.5b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (*.f64 phi1 (sin.f64 phi2)))) R)
	35.9b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))))) R)
▶	40.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	37.4b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 phi2) 2)) 4))) R)
	26.8b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	43.8b	(.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)
	47.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))) R)
	45.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	44.6b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) R)
	52.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	32.2b	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	37.9b	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	34.5b	(.f64 (acos.f64 (+.f64 (.f64 1/2 (-.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	55.9b	(.f64 (acos.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) R)
	42.1b	(.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 (/.f64 phi1 2)) (cos.f64 (/.f64 phi1 2))) (.f64 (sin.f64 (/.f64 phi1 2)) (sin.f64 (/.f64 phi1 2)))) (cos.f64 lambda1))) R)
▶	25.8b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	45.8b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) R)
	41.7b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
	45.3b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R)
✓	42.1b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
	53.1b	(.f64 (acos.f64 (sin.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1)))) R)
	53.0b	(.f64 (acos.f64 (sin.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2)))) R)
	47.1b	(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
	52.6b	(*.f64 (acos.f64 (cos.f64 phi2)) R)
	52.7b	(*.f64 (acos.f64 (cos.f64 phi1)) R)
▶	50.8b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)

Compiler

Compiled 3084 to 2232 computations (27.6% saved)

localize59.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
✓	0.2b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
✓	0.5b	(acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 60 to 13 computations (78.3% saved)

series312.0ms (0.3%)

Counts

3 → 40

Calls

39 calls:

Time	Variable		Point	Expression
298.0ms	phi2	@	-inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
1.0ms	lambda1	@	-inf	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
1.0ms	lambda1	@	inf	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))
1.0ms	R	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
1.0ms	phi1	@	inf	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)

rewrite746.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`rational_best-simplify-3`
736×	`rational_best-simplify-56`
622×	`rational_best-simplify-81`
600×	`rational_best-simplify-62`
436×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	107
1	110	107
2	273	107
3	973	107
4	4694	107

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify756.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1414×	`rational_best-simplify-1`
1152×	`rational_best-simplify-57`
1028×	`rational_best-simplify-3`
862×	`rational_best-simplify-63`
544×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	336	6932
1	852	6762
2	2288	6318
3	6278	6014

Stop Event

1×	node limit

Counts

124 → 202

Calls

Call 1

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

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

localize51.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
✓	1.6b	(acos.f64 (cos.f64 lambda1))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite464.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational_best-1`
1674×	`rational_best-2`
1674×	`rational_best-3`
1668×	`rational_best-4`
1666×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	24
2	102	24
3	290	24
4	998	24
5	4538	24

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (cos.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2) (/.f64 (acos.f64 (cos.f64 lambda1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2)) (-.f64 0 (/.f64 (acos.f64 (cos.f64 lambda1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 2) 2) (/.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 4) (/.f64 (neg.f64 (acos.f64 (cos.f64 lambda1))) 4))))) (#(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 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 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) 1/4)))) (#(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 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 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 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4)) (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4))) 16)))) (#(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 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (+.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 4))))) (#(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)) (*.f64 R 1/2)) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 1/2))) (-.f64 0 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 2) 2) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 4) (/.f64 (neg.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R)) 4))))) (#(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 (+.f64 R R) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 R 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 (+.f64 R R) 4)) (*.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 (+.f64 R R) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 R 4)) (*.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 R 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 R R) 4) (*.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)))))

simplify376.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational_best-simplify-75`
1136×	`rational_best-simplify-76`
1128×	`rational_best-simplify-66`
976×	`rational_best-simplify-80`
918×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	723
1	264	723
2	750	723
3	3270	723

Stop Event

1×	node limit

Counts

83 → 52

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)
(+.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 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2)))
(+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 2) 2))
(+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 4))
(-.f64 (acos.f64 (cos.f64 lambda1)) 0)
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2) (/.f64 (acos.f64 (cos.f64 lambda1)) -2))
(-.f64 (+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2)) (-.f64 0 (/.f64 (acos.f64 (cos.f64 lambda1)) 4)))
(-.f64 (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 2) 2) (/.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) -2) 2))
(-.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 4) (/.f64 (neg.f64 (acos.f64 (cos.f64 lambda1))) 4))
(*.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 1/2 (.f64 (acos.f64 (cos.f64 lambda1)) 2))
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 1/2) 2)
(.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) 1/4)
(.f64 1/4 (.f64 (acos.f64 (cos.f64 lambda1)) 4))
(.f64 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4)) 1/8)
(.f64 1/8 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 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 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4)) (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4))) 16)
(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 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2))))
(+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 2) 2))
(+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 4))
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 0)
(-.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2)) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) -2))
(-.f64 (+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2))) (-.f64 0 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 3)) 2) 2) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) -2) 2))
(-.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 3)) 4) (/.f64 (neg.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R)) 4))
(/.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 (+.f64 R R) 4)) 8)
(/.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 R 4)) 16)
(/.f64 (+.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 (+.f64 R R) 4)) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 (+.f64 R R) 4))) 16)
(/.f64 (+.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) (.f64 R 4)) (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) (.f64 R 4))) 32)
(/.f64 (.f64 (.f64 (+.f64 R R) 4) (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4))) 64)
(pow.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 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)
(+.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 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2)))
(acos.f64 (cos.f64 lambda1))
(+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 2) 2))
(acos.f64 (cos.f64 lambda1))
(+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 4))
(acos.f64 (cos.f64 lambda1))
(-.f64 (acos.f64 (cos.f64 lambda1)) 0)
(acos.f64 (cos.f64 lambda1))
(-.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2) (/.f64 (acos.f64 (cos.f64 lambda1)) -2))
(acos.f64 (cos.f64 lambda1))
(-.f64 (+.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 (acos.f64 (cos.f64 lambda1)) 1/2)) (-.f64 0 (/.f64 (acos.f64 (cos.f64 lambda1)) 4)))
(acos.f64 (cos.f64 lambda1))
(-.f64 (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 2) 2) (/.f64 (/.f64 (acos.f64 (cos.f64 lambda1)) -2) 2))
(acos.f64 (cos.f64 lambda1))
(-.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) 3) 4) (/.f64 (neg.f64 (acos.f64 (cos.f64 lambda1))) 4))
(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 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 (.f64 (acos.f64 (cos.f64 lambda1)) 4) 1/4)
(acos.f64 (cos.f64 lambda1))
(.f64 1/4 (.f64 (acos.f64 (cos.f64 lambda1)) 4))
(acos.f64 (cos.f64 lambda1))
(.f64 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 4)) 1/8)
(acos.f64 (cos.f64 lambda1))
(.f64 1/8 (.f64 2 (*.f64 (acos.f64 (cos.f64 lambda1)) 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 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4)) 8)
(acos.f64 (cos.f64 lambda1))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4)) (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4))) 16)
(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 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2))))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 2) 2))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 4))
(*.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)) (.f64 R 1/2)) (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) -2))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(-.f64 (+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 1/2))) (-.f64 0 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4)))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(-.f64 (/.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 3)) 2) 2) (/.f64 (/.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) -2) 2))
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(-.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 R 3)) 4) (/.f64 (neg.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R)) 4))
(*.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 (+.f64 R R) 4)) 8)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) (*.f64 R 4)) 16)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (+.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 (+.f64 R R) 4)) (.f64 (acos.f64 (cos.f64 lambda1)) (.f64 (+.f64 R R) 4))) 16)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (+.f64 (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) (.f64 R 4)) (.f64 (.f64 (acos.f64 (cos.f64 lambda1)) 4) (.f64 R 4))) 32)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (.f64 (+.f64 R R) 4) (.f64 2 (.f64 (acos.f64 (cos.f64 lambda1)) 4))) 64)
(*.f64 R (acos.f64 (cos.f64 lambda1)))
(pow.f64 (*.f64 (acos.f64 (cos.f64 lambda1)) R) 1)
(*.f64 R (acos.f64 (cos.f64 lambda1)))

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))
✓	0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
✓	0.1b	(*.f64 (sin.f64 phi1) phi2)
✓	0.6b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))

Compiler

Compiled 65 to 14 computations (78.5% saved)

series87.0ms (0.1%)

Counts

4 → 68

Calls

33 calls:

Time	Variable		Point	Expression
34.0ms	lambda2	@	-inf	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
30.0ms	lambda2	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
11.0ms	R	@	inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
1.0ms	phi1	@	-inf	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
1.0ms	phi1	@	0	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)

rewrite411.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`rational_best-4`
1938×	`rational_best-2`
1938×	`rational_best-3`
1938×	`rational_best-1`
1938×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	114
1	120	114
2	312	114
3	993	102
4	4372	102

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

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

simplify551.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-1`
1064×	`rational_best-simplify-56`
674×	`rational_best-simplify-47`
600×	`rational_best-simplify-64`
516×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	5108
1	585	5040
2	1538	4944
3	5461	4944

Stop Event

1×	node limit

Counts

140 → 142

Calls

Call 1

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

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

localize262.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2))
✓	0.5b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) 2)) 4)))
✓	7.0b	(cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))
✓	7.1b	(cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 179 to 47 computations (73.7% saved)

series92.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
26.0ms	phi1	@	inf	(.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2))
19.0ms	lambda1	@	-inf	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) 2)) 4)))
12.0ms	lambda1	@	inf	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) 2)) 4)))
12.0ms	phi2	@	0	(.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2))
1.0ms	phi1	@	0	(.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2))

rewrite616.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best-simplify-62`
594×	`rational_best-4`
594×	`rational_best-2`
594×	`rational_best-3`
594×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	170
1	165	170
2	407	134
3	1415	134
4	7412	134

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

Inputs
(cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))
(cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))
(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) 2)) 4)))
(.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (/.f64 (cos.f64 (-.f64 lambda2 (+.f64 phi2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (+.f64 (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) 2) (+.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) -2) (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (+.f64 (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (+.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) -2) (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) 2) (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (.f64 (sin.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda2 lambda1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 (+.f64 phi2 lambda1))) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 (+.f64 phi2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2)) (cos.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2))) (.f64 (sin.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2)) (sin.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 0) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))) (neg.f64 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 2 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (.f64 (.f64 (sin.f64 phi2) 2) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 phi2 lambda2)))) (.f64 (.f64 (sin.f64 phi2) 2) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda2 (+.f64 phi2 lambda1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda2 (+.f64 phi2 lambda1)))) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4) (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4) (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4) (/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 3) 8) (+.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 8) (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4) (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (/.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 3) 4) (/.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4) (/.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 3) 8)) (-.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) -8) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 8) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 4) (.f64 2 (.f64 (cos.f64 phi1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) 4)) (.f64 (.f64 2 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) 4)) (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 (+.f64 phi2 lambda2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 4))) 1)))))

simplify1.1s (0.9%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational_best-simplify-52`
1176×	`rational_best-simplify-48`
1028×	`rational_best-simplify-51`
1026×	`rational_best-simplify-3`
692×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	16999
1	1524	16569
2	4077	16485

Stop Event

1×	node limit

Counts

331 → 429

Calls

Call 1

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

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

localize195.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
✓	1.2b	(acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))))
✓	5.3b	(cos.f64 (-.f64 phi1 phi2))
	5.4b	(cos.f64 (+.f64 phi1 phi2))

Compiler

Compiled 149 to 44 computations (70.5% saved)

series22.0ms (0%)

Counts

3 → 88

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	phi2	@	-inf	(acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))))
1.0ms	lambda2	@	inf	(-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
1.0ms	lambda2	@	0	(-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
1.0ms	phi1	@	0	(cos.f64 (-.f64 phi1 phi2))
1.0ms	phi1	@	0	(-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))

rewrite768.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`rational_best-simplify-51`
796×	`rational_best-simplify-52`
778×	`rational_best-simplify-57`
766×	`rational_best-4`
766×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	139
1	162	133
2	457	119
3	1801	115

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

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

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

(-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 phi1 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 phi1 phi2)) (neg.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) 1/2) (*.f64 (cos.f64 (-.f64 phi1 phi2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) 1/2) (neg.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 4) (/.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) 3) 4) (/.f64 (cos.f64 (-.f64 phi1 phi2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule 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(-.f64 (cos.f64 (+.f64 phi1 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 2 (cos.f64 phi1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 2 (cos.f64 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)))))))

simplify718.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

718×	`rational_best-simplify-64`
698×	`rational_best-simplify-47`
668×	`rational_best-simplify-1`
612×	`rational_best-simplify-55`
550×	`rational_best-simplify-66`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	10272
1	874	10068
2	2109	8360

Stop Event

1×	node limit

Counts

196 → 204

Calls

Call 1

Inputs
(cos.f64 (neg.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(-.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 phi2))) (.f64 1/2 (cos.f64 phi2))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/4 (cos.f64 phi2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 phi2))) (.f64 1/2 (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/4 (cos.f64 phi2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 phi2))) (.f64 1/2 (cos.f64 phi2))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) phi2)) (.f64 1/2 (cos.f64 phi1))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) phi2)) (+.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 (pow.f64 phi2 2) (-.f64 (.f64 -1/4 (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) phi2)) (+.f64 (.f64 1/2 (cos.f64 phi1)) (+.f64 (.f64 (pow.f64 phi2 2) (-.f64 (.f64 -1/4 (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))) (.f64 1/12 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)))))) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
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(.f64 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) 1/2)
(.f64 1/2 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))))
(.f64 (.f64 2 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) 1/4)
(.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 2 (cos.f64 phi1)))) 1/2)
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) 1)
(/.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) -1)
(/.f64 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) 2)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) 4)
(/.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 2 (cos.f64 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) 1)
(neg.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)))

Outputs
(cos.f64 (neg.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (*.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)))
(+.f64 (cos.f64 (neg.f64 phi2)) (*.f64 phi1 (neg.f64 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)) (+.f64 (cos.f64 (neg.f64 phi2)) (.f64 (cos.f64 (neg.f64 phi2)) (*.f64 (pow.f64 phi1 2) -1/2))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 phi1 (neg.f64 (sin.f64 (neg.f64 phi2)))) (.f64 (cos.f64 (neg.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 (sin.f64 (neg.f64 phi2)) (.f64 (pow.f64 phi1 3) 1/6)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (.f64 (pow.f64 phi1 2) -1/2)) (+.f64 (.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)) (.f64 (pow.f64 phi1 3) (*.f64 (sin.f64 (neg.f64 phi2)) 1/6)))))
(+.f64 (.f64 (sin.f64 (neg.f64 phi2)) (+.f64 (neg.f64 phi1) (.f64 1/6 (pow.f64 phi1 3)))) (+.f64 (cos.f64 (neg.f64 phi2)) (.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1/2 (pow.f64 phi1 2)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 phi2 (sin.f64 phi1)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))))
(+.f64 (.f64 phi2 (sin.f64 phi1)) (+.f64 (cos.f64 phi1) (.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2)))))
(+.f64 (.f64 phi2 (sin.f64 phi1)) (+.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (cos.f64 phi1)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(+.f64 (+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2)))) (.f64 (pow.f64 phi2 3) (*.f64 (sin.f64 phi1) -1/6)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (.f64 (pow.f64 phi2 3) (*.f64 (sin.f64 phi1) -1/6))))
(+.f64 (+.f64 (.f64 phi2 (sin.f64 phi1)) (+.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (cos.f64 phi1))))) (.f64 (sin.f64 phi1) (*.f64 -1/6 (pow.f64 phi2 3))))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (neg.f64 (+.f64 phi2 (*.f64 -1 phi1))))
(cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
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(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
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(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
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(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (.f64 -1 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))))
(acos.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi2 (neg.f64 phi1))))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(acos.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (cos.f64 (+.f64 phi2 phi1)))))
(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))
(-.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(*.f64 (cos.f64 phi2) (-.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 phi2))) (.f64 1/2 (cos.f64 phi2))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) 1/2) (.f64 (sin.f64 phi2) (.f64 phi1 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (neg.f64 (.f64 (sin.f64 phi2) (*.f64 phi1 -1/2))))
(-.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (neg.f64 (.f64 phi1 (*.f64 -1/2 (sin.f64 phi2)))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/4 (cos.f64 phi2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 phi2))) (.f64 1/2 (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) 1/2) (+.f64 (.f64 (sin.f64 phi2) (.f64 phi1 -1/2)) (.f64 (pow.f64 phi1 2) (-.f64 (.f64 (cos.f64 phi2) -1/4) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) -1/2)))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) 1/2) (+.f64 (.f64 (sin.f64 phi2) (.f64 phi1 -1/2)) (.f64 (pow.f64 phi1 2) (-.f64 (.f64 (cos.f64 phi2) -1/4) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (cos.f64 phi2))))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) 1/2) (+.f64 (.f64 phi1 (.f64 -1/2 (sin.f64 phi2))) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (-.f64 -1/4 (.f64 -1/2 (cos.f64 (neg.f64 lambda2)))))))) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/4 (cos.f64 phi2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 phi2))) (.f64 1/2 (cos.f64 phi2))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 (cos.f64 phi2) -1/4) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) -1/2)))) (+.f64 (.f64 (cos.f64 phi2) 1/2) (+.f64 (.f64 (sin.f64 phi2) (.f64 phi1 -1/2)) (.f64 (sin.f64 phi2) (.f64 (pow.f64 phi1 3) 1/12))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 (cos.f64 phi2) -1/4) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (cos.f64 phi2))))) (+.f64 (.f64 (cos.f64 phi2) 1/2) (+.f64 (.f64 (sin.f64 phi2) (.f64 phi1 -1/2)) (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 phi2) 1/12))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) 1/2) (+.f64 (.f64 (sin.f64 phi2) (+.f64 (.f64 phi1 -1/2) (.f64 (pow.f64 phi1 3) 1/12))) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (-.f64 -1/4 (.f64 -1/2 (cos.f64 (neg.f64 lambda2)))))))) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
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(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
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(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(.f64 (.f64 2 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) 1/4)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 2 (cos.f64 phi1)))) 1/2)
(.f64 1/2 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (.f64 (cos.f64 phi1) (.f64 2 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))))
(.f64 1/2 (-.f64 (cos.f64 (+.f64 phi2 phi1)) (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) 1)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(/.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) -1)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(/.f64 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))) 2)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) 4)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(/.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 2 (cos.f64 phi1)))) 2)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(pow.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 1/2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) 1)
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(neg.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))

eval1.9s (1.6%)

Compiler: Compiled 41678 to 16054 computations (61.5% saved)

prune2.3s (2%)

Pruning

69 alts after pruning (64 fresh and 5 done)

	Pruned	Kept	Total
New	1243	21	1264
Fresh	11	43	54
Picked	1	0	1
Done	3	5	8
Total	1258	69	1327

Error

2.6b

Counts

1327 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	50.8b	(+.f64 (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) R) 4) (/.f64 (.f64 (acos.f64 (cos.f64 lambda1)) (*.f64 R 3)) 4))
	32.2b	(.f64 (acos.f64 (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 phi2)))) (*.f64 (cos.f64 phi1) 2)) 4)) R)
	32.2b	(.f64 (acos.f64 (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi1)) (cos.f64 (+.f64 lambda2 (-.f64 phi1 lambda1)))) (*.f64 (cos.f64 phi2) 2)) 4)) R)
	42.1b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (-.f64 (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))) R)
	30.2b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (-.f64 (neg.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))) R)
	42.1b	(.f64 (acos.f64 (-.f64 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (-.f64 (.f64 (sin.f64 phi2) (neg.f64 (sin.f64 phi1))) (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))) R)
	34.5b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) R)
	45.9b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (-.f64 (/.f64 (cos.f64 phi2) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))))) R)
	38.0b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 phi2 phi1)) -2) (-.f64 (cos.f64 (+.f64 phi2 phi1)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))))) R)
	45.3b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi2) (-.f64 1/2 (cos.f64 (neg.f64 lambda2)))))) R)
	44.9b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2) (.f64 (cos.f64 phi1) (-.f64 1/2 (cos.f64 (neg.f64 lambda2)))))) R)
	47.1b	(.f64 (acos.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2) (-.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) -2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
	34.6b	(.f64 (acos.f64 (-.f64 (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2) (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2)) (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (/.f64 (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))) 2)))) R)
	48.1b	(.f64 (acos.f64 (-.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (cos.f64 (+.f64 phi1 phi2)))) R)
	30.2b	(.f64 (acos.f64 (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) 2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	50.5b	(.f64 (acos.f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 (.f64 (PI.f64) 1/2)))))) R)
	47.9b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 1))) (cos.f64 (+.f64 1 (-.f64 phi2 (.f64 (PI.f64) 1/2))))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 1))) (sin.f64 (+.f64 1 (-.f64 phi2 (*.f64 (PI.f64) 1/2))))))) R)
	48.0b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 phi2)) (cos.f64 (+.f64 phi1 1))) (*.f64 (sin.f64 (-.f64 -1 phi2)) (sin.f64 (+.f64 phi1 1))))) R)
	47.9b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 (+.f64 phi2 -1)) (cos.f64 (-.f64 1 phi1))) (*.f64 (sin.f64 (+.f64 phi2 -1)) (sin.f64 (-.f64 1 phi1))))) R)
	27.4b	(.f64 (acos.f64 (-.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 2))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))) R)
	48.9b	(.f64 (acos.f64 (-.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) -2))) R)
	53.1b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	57.9b	(.f64 (acos.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) phi2)) (cos.f64 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	46.8b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	25.9b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (+.f64 -1 (-.f64 (cos.f64 (+.f64 phi2 phi1)) -1)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.0b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi2) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	42.1b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2) (/.f64 (cos.f64 phi1) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) R)
	35.7b	(.f64 (acos.f64 (+.f64 (-.f64 (/.f64 (cos.f64 (neg.f64 phi1)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.3b	(.f64 (acos.f64 (+.f64 (-.f64 (.f64 1/2 (cos.f64 phi2)) 1/2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	36.2b	(.f64 (acos.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
	34.4b	(.f64 (acos.f64 (+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 phi2) (neg.f64 phi1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
✓	3.8b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
	26.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (neg.f64 lambda2)))))) R)
✓	30.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	27.4b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R)
✓	42.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	53.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (/.f64 (-.f64 (cos.f64 (-.f64 phi1 lambda2)) (neg.f64 (cos.f64 (+.f64 phi1 lambda2)))) 2))) R)
	42.7b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R)
	46.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	57.5b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) phi2) (cos.f64 (neg.f64 lambda2)))) R)
	49.7b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 phi1 (sin.f64 phi2)))) R)
	45.5b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (*.f64 phi1 (sin.f64 phi2)))) R)
	35.9b	(.f64 (acos.f64 (+.f64 (.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (.f64 1/2 (cos.f64 (-.f64 phi2 phi1))))) R)
	40.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (-.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2)) (cos.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2))) (.f64 (sin.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2)) (sin.f64 (/.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)) 2)))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	40.9b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))))) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	47.0b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (-.f64 phi2 lambda2)) (cos.f64 (-.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	44.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 phi2 lambda1))) (.f64 (cos.f64 phi1) 2)) 4))) R)
	45.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)
	52.3b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	53.7b	(.f64 (acos.f64 (+.f64 (.f64 phi1 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2))))) R)
	55.9b	(.f64 (acos.f64 (+.f64 (cos.f64 phi2) (.f64 phi1 (sin.f64 phi2)))) R)
	42.1b	(.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 (/.f64 phi1 2)) (cos.f64 (/.f64 phi1 2))) (.f64 (sin.f64 (/.f64 phi1 2)) (sin.f64 (/.f64 phi1 2)))) (cos.f64 lambda1))) R)
	17.4b	(.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	38.7b	(.f64 (acos.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	42.2b	(.f64 (acos.f64 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
	37.9b	(.f64 (acos.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (neg.f64 lambda2)))) R)
	35.8b	(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R)
	34.5b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R)
	45.8b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) R)
	41.7b	(.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)
	45.3b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R)
✓	42.1b	(.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R)
	53.1b	(.f64 (acos.f64 (sin.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1)))) R)
	53.0b	(.f64 (acos.f64 (sin.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2)))) R)
	47.1b	(*.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R)
	52.6b	(*.f64 (acos.f64 (cos.f64 phi2)) R)
	52.7b	(*.f64 (acos.f64 (cos.f64 phi1)) R)
✓	50.8b	(*.f64 (acos.f64 (cos.f64 lambda1)) R)
	60.1b	(*.f64 lambda1 R)

Compiler

Compiled 1702 to 1230 computations (27.7% saved)

regimes2.3s (1.9%)

Counts

101 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

259.0ms	phi1
235.0ms	R
218.0ms	lambda1
209.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
207.0ms	(-.f64 lambda1 lambda2)

Results

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

Compiler

Compiled 2196 to 802 computations (63.5% saved)

regimes5.7s (4.8%)

Counts

96 → 4

Calls

Call 1

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

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

Calls

10 calls:

762.0ms	phi2
745.0ms	lambda2
729.0ms	(-.f64 lambda1 lambda2)
704.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
597.0ms	phi1

Results

Error	Segments	Branch
15.8b	1	`R`
9.9b	3	`lambda1`
9.3b	4	`lambda2`
9.9b	3	`phi1`
10.3b	3	`phi2`
15.8b	1	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.9b	3	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
13.9b	3	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
11.7b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
11.9b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2034 to 742 computations (63.5% saved)

bsearch1.1s (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
360.0ms	6.119838406741508e+221	1.3997487926849231e+222
254.0ms	3.08349030452257e-45	5.0412855961042086e-45
501.0ms	-9793.455541131352	-0.00017721565717018593

Results

876.0ms	191×	body	1024	valid
130.0ms	46×	body	512	valid
53.0ms	5×	body	2048	valid
49.0ms	46×	body	256	valid

Compiler

Compiled 1085 to 773 computations (28.8% saved)

regimes5.7s (4.8%)

Counts

91 → 4

Calls

Call 1

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

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

Calls

10 calls:

1.1s	lambda2
804.0ms	lambda1
705.0ms	(-.f64 lambda1 lambda2)
683.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
553.0ms	phi2

Results

Error	Segments	Branch
15.8b	1	`R`
9.9b	3	`lambda1`
9.3b	4	`lambda2`
9.9b	3	`phi1`
10.3b	3	`phi2`
15.8b	1	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
13.9b	3	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
13.9b	3	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
11.7b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
11.9b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1864 to 685 computations (63.3% saved)

bsearch1.1s (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
328.0ms	6.119838406741508e+221	1.3997487926849231e+222
214.0ms	3.08349030452257e-45	5.0412855961042086e-45
509.0ms	-9793.455541131352	-0.00017721565717018593

Results

829.0ms	209×	body	1024	valid
113.0ms	34×	body	512	valid
55.0ms	38×	body	256	valid
41.0ms	7×	body	2048	valid

Compiler

Compiled 981 to 708 computations (27.8% saved)

regimes1.7s (1.4%)

Counts

78 → 1

Calls

Call 1

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

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

Calls

10 calls:

184.0ms	lambda1
174.0ms	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
167.0ms	(.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)
159.0ms	(-.f64 lambda1 lambda2)
152.0ms	R

Results

Error	Segments	Branch
15.8b	1	`R`
15.8b	1	`lambda1`
15.8b	1	`lambda2`
15.8b	1	`phi1`
15.8b	1	`phi2`
15.8b	1	`(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)`
15.8b	1	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
15.8b	1	`(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))`
15.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
15.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1525 to 611 computations (59.9% saved)

regimes941.0ms (0.8%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

7 calls:

141.0ms	phi1
135.0ms	R
125.0ms	lambda1
123.0ms	(-.f64 lambda1 lambda2)
121.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Results

Error	Segments	Branch
15.8b	1	`R`
15.8b	1	`lambda1`
15.8b	1	`lambda2`
15.8b	1	`phi1`
15.8b	1	`phi2`
15.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
15.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 975 to 407 computations (58.3% saved)

regimes2.3s (1.9%)

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

367.0ms	lambda2
357.0ms	phi2
339.0ms	(-.f64 lambda1 lambda2)
309.0ms	R
302.0ms	phi1

Results

Error	Segments	Branch
24.7b	3	`R`
16.0b	3	`lambda1`
15.9b	3	`lambda2`
20.8b	3	`phi1`
20.3b	3	`phi2`
21.0b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
20.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 956 to 403 computations (57.8% saved)

bsearch815.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
367.0ms	0.012231141030248631	2.2933953302224968
447.0ms	-0.00017721565717018593	-1.741721047082421e-8

Results

524.0ms	142×	body	1024	valid
141.0ms	49×	body	512	valid
91.0ms	45×	body	256	valid
15.0ms	4×	body	2048	valid

Compiler

Compiled 737 to 549 computations (25.5% saved)

regimes2.6s (2.2%)

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

657.0ms	lambda2
627.0ms	phi1
299.0ms	(-.f64 lambda1 lambda2)
285.0ms	R
284.0ms	phi2

Results

Error	Segments	Branch
25.8b	1	`R`
24.0b	2	`lambda1`
18.8b	3	`lambda2`
22.0b	3	`phi1`
20.8b	3	`phi2`
21.0b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
21.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 920 to 392 computations (57.4% saved)

bsearch564.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
179.0ms	3.08349030452257e-45	5.0412855961042086e-45
384.0ms	-2.4456314617189195e+32	-3.8360343921108963e+24

Results

409.0ms	124×	body	1024	valid
80.0ms	42×	body	512	valid
31.0ms	39×	body	256	valid
29.0ms	3×	body	2048	valid

Compiler

Compiled 578 to 427 computations (26.1% saved)

regimes1.7s (1.5%)

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

413.0ms	lambda1
268.0ms	(-.f64 lambda1 lambda2)
246.0ms	phi2
237.0ms	phi1
227.0ms	lambda2

Results

Error	Segments	Branch
25.8b	1	`R`
24.0b	2	`lambda1`
18.8b	3	`lambda2`
22.0b	3	`phi1`
20.8b	3	`phi2`
21.0b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
21.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 886 to 385 computations (56.5% saved)

bsearch1.1s (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
536.0ms	3.08349030452257e-45	5.0412855961042086e-45
548.0ms	-2.4456314617189195e+32	-3.8360343921108963e+24

Results

925.0ms	131×	body	1024	valid
64.0ms	36×	body	256	valid
63.0ms	40×	body	512	valid
26.0ms	1×	body	2048	valid

Compiler

Compiled 578 to 427 computations (26.1% saved)

regimes1.7s (1.4%)

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

478.0ms	(-.f64 lambda1 lambda2)
394.0ms	phi2
305.0ms	phi1
159.0ms	(cos.f64 (-.f64 lambda1 lambda2))
119.0ms	lambda1

Results

Error	Segments	Branch
25.8b	1	`R`
25.8b	1	`lambda1`
25.8b	1	`lambda2`
25.8b	1	`phi1`
24.8b	3	`phi2`
21.3b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
21.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 869 to 382 computations (56% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00017721565717018593	18903139354479264.0
0.0ms	-6.026597018218196e-7	-7.003955710308692e-19

Compiler

Compiled 32 to 24 computations (25% saved)

regimes1.0s (0.9%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

7 calls:

413.0ms	phi2
229.0ms	R
76.0ms	lambda1
68.0ms	phi1
56.0ms	lambda2

Results

Error	Segments	Branch
25.8b	1	`R`
25.8b	1	`lambda1`
25.8b	1	`lambda2`
25.8b	1	`phi1`
25.8b	1	`phi2`
25.8b	1	`(cos.f64 (-.f64 lambda1 lambda2))`
25.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 459 to 213 computations (53.6% saved)

regimes1.4s (1.2%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

445.0ms	phi2
298.0ms	(-.f64 lambda1 lambda2)
255.0ms	R
100.0ms	lambda2
97.0ms	lambda1

Results

Error	Segments	Branch
33.2b	2	`R`
26.0b	3	`lambda1`
26.0b	3	`lambda2`
28.6b	2	`phi1`
30.2b	3	`phi2`
32.0b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
31.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 200 to 112 computations (44% saved)

bsearch700.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
303.0ms	0.012231141030248631	2.2933953302224968
397.0ms	-0.00017721565717018593	-1.741721047082421e-8

Results

524.0ms	134×	body	1024	valid
66.0ms	63×	body	256	valid
58.0ms	37×	body	512	valid
29.0ms	6×	body	2048	valid

Compiler

Compiled 557 to 429 computations (23% saved)

regimes742.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

7 calls:

138.0ms	lambda1
136.0ms	lambda2
121.0ms	(-.f64 lambda1 lambda2)
104.0ms	R
84.0ms	phi2

Results

Error	Segments	Branch
33.2b	2	`R`
31.1b	5	`lambda1`
29.0b	3	`lambda2`
28.6b	2	`phi1`
30.3b	3	`phi2`
32.0b	2	`(cos.f64 (-.f64 lambda1 lambda2))`
31.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 188 to 108 computations (42.6% saved)

bsearch505.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
504.0ms	-334730012165.01495	-120888.75809035166

Results

356.0ms	85×	body	1024	valid
85.0ms	30×	body	512	valid
47.0ms	28×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 311 to 240 computations (22.8% saved)

regimes575.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

234.0ms	phi1
102.0ms	lambda1
99.0ms	lambda2
83.0ms	phi2
53.0ms	R

Results

Error	Segments	Branch
40.5b	2	`R`
33.8b	5	`lambda1`
33.8b	5	`lambda2`
33.4b	2	`phi1`
33.3b	3	`phi2`

Compiler

Compiled 94 to 58 computations (38.3% saved)

bsearch950.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
392.0ms	4.130036437718204e-13	7.315304841012137e-11
557.0ms	1.551757698643999e-259	2.2732934655409968e-259

Results

813.0ms	106×	body	1024	valid
62.0ms	26×	body	256	valid
41.0ms	41×	body	512	valid
29.0ms	3×	body	2048	valid

Compiler

Compiled 344 to 270 computations (21.5% saved)

regimes267.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

80.0ms	lambda1
58.0ms	phi2
58.0ms	lambda2
36.0ms	R
31.0ms	phi1

Results

Error	Segments	Branch
40.5b	2	`R`
37.3b	3	`lambda1`
40.7b	2	`lambda2`
34.6b	2	`phi1`
34.6b	2	`phi2`

Compiler

Compiled 76 to 50 computations (34.2% saved)

bsearch615.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
614.0ms	4.130036437718204e-13	7.315304841012137e-11

Results

372.0ms	71×	body	1024	valid
199.0ms	23×	body	512	valid
41.0ms	18×	body	256	valid

Compiler

Compiled 228 to 178 computations (21.9% saved)

regimes245.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

115.0ms	lambda1
49.0ms	phi2
30.0ms	lambda2
29.0ms	phi1
19.0ms	R

Results

Error	Segments	Branch
42.1b	1	`R`
37.9b	3	`lambda1`
42.1b	1	`lambda2`
40.9b	2	`phi1`
37.9b	2	`phi2`

Compiler

Compiled 68 to 47 computations (30.9% saved)

bsearch771.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
771.0ms	1.1768368584011571e-7	0.03715329560364472

Results

447.0ms	91×	body	1024	valid
299.0ms	31×	body	512	valid
22.0ms	22×	body	256	valid

Compiler

Compiled 257 to 204 computations (20.6% saved)

regimes447.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

220.0ms	phi2
79.0ms	phi1
61.0ms	lambda1
48.0ms	lambda2
37.0ms	R

Results

Error	Segments	Branch
47.1b	1	`R`
40.7b	3	`lambda1`
45.8b	3	`lambda2`
43.6b	3	`phi1`
43.6b	3	`phi2`

Compiler

Compiled 60 to 44 computations (26.7% saved)

bsearch1.1s (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
501.0ms	16080637889956.766	18903139354479264.0
609.0ms	-215792606459389.3	-7740759099512.987

Results

932.0ms	128×	body	1024	valid
117.0ms	60×	body	512	valid
55.0ms	52×	body	256	valid

Compiler

Compiled 392 to 309 computations (21.2% saved)

regimes484.0ms (0.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

5 calls:

318.0ms	lambda1
66.0ms	phi2
58.0ms	lambda2
32.0ms	phi1
7.0ms	R

Results

Error	Segments	Branch
50.8b	1	`R`
43.4b	5	`lambda1`
49.7b	3	`lambda2`
43.6b	3	`phi1`
43.6b	3	`phi2`

Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch2.3s (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
554.0ms	3.6124117332927876e-9	7.215495055433582e-7
754.0ms	6.0421325770910864e-83	8.973111874559246e-82
493.0ms	3.8886860401756506e-262	8.758879960243957e-258
515.0ms	-233314.63259364082	-0.00021934758940738181

Results

1.8s	281×	body	1024	valid
340.0ms	111×	body	512	valid
105.0ms	84×	body	256	valid
37.0ms	4×	body	2048	valid

Compiler

Compiled 666 to 538 computations (19.2% saved)

regimes192.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

5 calls:

83.0ms	lambda2
38.0ms	phi2
34.0ms	lambda1
28.0ms	phi1
7.0ms	R

Results

Error	Segments	Branch
50.8b	1	`R`
44.9b	3	`lambda1`
49.7b	3	`lambda2`
45.2b	2	`phi1`
49.1b	2	`phi2`

Compiler

Compiled 48 to 37 computations (22.9% saved)

bsearch1.2s (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
355.0ms	16080637889956.766	18903139354479264.0
806.0ms	-233314.63259364082	-0.00021934758940738181

Results

601.0ms	133×	body	1024	valid
349.0ms	88×	body	256	valid
186.0ms	49×	body	512	valid
20.0ms	2×	body	2048	valid

Compiler

Compiled 406 to 330 computations (18.7% saved)

regimes123.0ms (0.1%)

Accuracy

Total -11.8b remaining (-23.9%)

Threshold costs -11.8b (-23.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	phi2
42.0ms	lambda1
21.0ms	lambda2
6.0ms	R
6.0ms	phi1

Results

Error	Segments	Branch
50.8b	1	`R`
49.5b	3	`lambda1`
50.8b	1	`lambda2`
50.8b	1	`phi1`
50.8b	1	`phi2`

Compiler

Compiled 43 to 34 computations (20.9% saved)

bsearch1.3s (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
973.0ms	3.6124117332927876e-9	7.215495055433582e-7
329.0ms	-3.7733983089855795e-308	-2.3160665812767116e-308

Results

1.1s	113×	body	1024	valid
96.0ms	30×	body	512	valid
44.0ms	5×	body	2048	valid
13.0ms	28×	body	256	valid

Compiler

Compiled 252 to 200 computations (20.6% saved)

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2230

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
(if (<=.f64 lambda2 -5476377146882523/576460752303423488) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (neg.f64 lambda2)))))) R) (if (<=.f64 lambda2 1380000000000000000099850571804643854836153636478569444367156610884460711147234788372185137471302703685808427282679077247255877053945260173945917159288335946938695926207803979541315889930530254871181453378391840226818392064) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R))))
(if (<=.f64 lambda2 -3039929748475085/2251799813685248) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R) (if (<=.f64 lambda2 1380000000000000000099850571804643854836153636478569444367156610884460711147234788372185137471302703685808427282679077247255877053945260173945917159288335946938695926207803979541315889930530254871181453378391840226818392064) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(if (<=.f64 lambda2 -8028023020878397/1180591620717411303424) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R) (if (<=.f64 lambda2 3602879701896397/288230376151711744) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)))
(if (<=.f64 lambda2 -3899999999999999773507584) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 lambda2 -3899999999999999773507584) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 (-.f64 lambda1 lambda2) -4722366482869645/9444732965739290427392) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 (-.f64 lambda1 lambda2) 7378697629483821/36893488147419103232) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(if (<=.f64 lambda2 -8264141345021879/1180591620717411303424) (.f64 (acos.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (neg.f64 lambda2)))) R) (if (<=.f64 lambda2 3602879701896397/288230376151711744) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (neg.f64 lambda2)))) R)))
(if (<=.f64 phi1 -5000000) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R))
(if (<=.f64 phi2 3029452159344359/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R) (if (<=.f64 phi2 5415987671873539/77371252455336267181195264) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)))
(if (<=.f64 phi2 5415987671873539/77371252455336267181195264) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R))
(if (<=.f64 phi2 5332261958806667/288230376151711744) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R))
(if (<=.f64 lambda1 -7800000000000) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 16200000000000) (.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(if (<=.f64 lambda1 -760928193040519/2305843009213693952) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 4165756386426437/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 lambda1 4955489923336511/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (acos.f64 (cos.f64 phi2)) R) (if (<=.f64 lambda1 6611313076017503/9444732965739290427392) (.f64 lambda1 R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))))
(if (<=.f64 lambda1 -8116567392432203/36893488147419103232) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 16200000000000) (.f64 (acos.f64 (cos.f64 phi1)) R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(if (<=.f64 lambda1 -4857654079375455/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 6422418416702717/9444732965739290427392) (.f64 lambda1 R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(*.f64 lambda1 R)

Outputs
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) R)
(if (<=.f64 lambda2 -5476377146882523/576460752303423488) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (neg.f64 lambda2)))))) R) (if (<=.f64 lambda2 1380000000000000000099850571804643854836153636478569444367156610884460711147234788372185137471302703685808427282679077247255877053945260173945917159288335946938695926207803979541315889930530254871181453378391840226818392064) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R))))
(if (<=.f64 lambda2 -3039929748475085/2251799813685248) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R) (if (<=.f64 lambda2 1380000000000000000099850571804643854836153636478569444367156610884460711147234788372185137471302703685808427282679077247255877053945260173945917159288335946938695926207803979541315889930530254871181453378391840226818392064) (.f64 (acos.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R))))
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) R)
(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(if (<=.f64 lambda2 -8028023020878397/1180591620717411303424) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R) (if (<=.f64 lambda2 3602879701896397/288230376151711744) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) R)))
(if (<=.f64 lambda2 -3899999999999999773507584) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 lambda2 -3899999999999999773507584) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 lambda2 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(if (<=.f64 (-.f64 lambda1 lambda2) -4722366482869645/9444732965739290427392) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (if (<=.f64 (-.f64 lambda1 lambda2) 7378697629483821/36893488147419103232) (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)))
(.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) R)
(if (<=.f64 lambda2 -8264141345021879/1180591620717411303424) (.f64 (acos.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (neg.f64 lambda2)))) R) (if (<=.f64 lambda2 3602879701896397/288230376151711744) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) R) (.f64 (acos.f64 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (neg.f64 lambda2)))) R)))
(if (<=.f64 phi1 -5000000) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R) (.f64 (acos.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) R))
(if (<=.f64 phi2 3029452159344359/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda2)))) R) (if (<=.f64 phi2 5415987671873539/77371252455336267181195264) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R)))
(if (<=.f64 phi2 5415987671873539/77371252455336267181195264) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (.f64 (acos.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) R))
(if (<=.f64 phi2 5332261958806667/288230376151711744) (.f64 (acos.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1))) R) (*.f64 (acos.f64 (cos.f64 phi2)) R))
(if (<=.f64 lambda1 -7800000000000) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 16200000000000) (.f64 (acos.f64 (cos.f64 (-.f64 phi2 phi1))) R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(if (<=.f64 lambda1 -760928193040519/2305843009213693952) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 4165756386426437/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (.f64 (acos.f64 (cos.f64 phi1)) R) (if (<=.f64 lambda1 4955489923336511/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (acos.f64 (cos.f64 phi2)) R) (if (<=.f64 lambda1 6611313076017503/9444732965739290427392) (.f64 lambda1 R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))))
(if (<=.f64 lambda1 -8116567392432203/36893488147419103232) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 16200000000000) (.f64 (acos.f64 (cos.f64 phi1)) R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(if (<=.f64 lambda1 -4857654079375455/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (acos.f64 (cos.f64 lambda1)) R) (if (<=.f64 lambda1 6422418416702717/9444732965739290427392) (.f64 lambda1 R) (*.f64 (acos.f64 (cos.f64 lambda1)) R)))
(*.f64 lambda1 R)

Compiler

Compiled 835 to 450 computations (46.1% saved)

soundness0.0ms (0%)

end729.0ms (0.6%)

Remove: (sort phi1 phi2)
Compiler: Compiled 806 to 230 computations (71.5% saved)