Details

analyze1.9s (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
7.8%	7.8%	92%	0.2%	0%	0%	0%	9
7.8%	7.8%	92%	0.2%	0%	0%	0%	10
10.2%	10.1%	89.7%	0.2%	0%	0%	0%	11
10.2%	10.1%	89.7%	0.2%	0%	0%	0%	12

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample13.7s (24.5%)

Results

11.2s	5553×	body	1024	valid
1.2s	1298×	body	512	valid
751.0ms	1223×	body	256	valid
561.0ms	182×	body	2048	valid

Bogosity

preprocess115.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1540×	`rational.json-simplify-35`
1096×	`rational.json-simplify-41`
1052×	`rational.json-simplify-48`
748×	`rational.json-simplify-52`
628×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	539
1	139	539
2	249	539
3	406	539
4	642	539
5	1299	539
6	2607	539
7	5783	539
8	7129	539
9	7790	539
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 phi1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 phi1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 phi2)) (cos.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))

Outputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 phi1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda1)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (cos.f64 (-.f64 phi1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 phi1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 (-.f64 lambda1 phi1))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 phi2)) (cos.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2)))))
(atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2)))))
(atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify131.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2034×	`rational.json-simplify-35`
1062×	`rational.json-simplify-52`
1036×	`rational.json-simplify-41`
978×	`rational.json-simplify-48`
928×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	38	77
2	67	77
3	111	77
4	194	77
5	374	77
6	837	77
7	2196	77
8	4868	77
9	5851	77
10	6651	77
11	7437	77

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Outputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

eval1.0ms (0%)

Compiler: Compiled 100 to 29 computations (71% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

14.1b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	14.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Status

Error

Program

▶

14.1b

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

▶

14.1b

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.3b	(*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
✓	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 96 to 17 computations (82.3% saved)

series11.0ms (0%)

Counts

4 → 76

Calls

27 calls:

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

rewrite86.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`bool.json-1`
1744×	`bool.json-2`
1710×	`rational.json-1`
1298×	`bool.json-3`
682×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	154	58
2	440	58
3	1013	58
4	2281	58
5	5666	58

Stop Event

1×	node limit

Counts

4 → 54

Calls

Call 1

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

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

simplify167.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-35`
1366×	`rational.json-simplify-26`
1082×	`rational.json-simplify-2`
838×	`rational.json-simplify-51`
794×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	3422
1	591	3250
2	1337	3144
3	2364	2998
4	4064	2998
5	5095	2998
6	6687	2998
7	7649	2998

Stop Event

1×	node limit

Counts

130 → 205

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.3b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 96 to 17 computations (82.3% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite68.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`bool.json-1`
1298×	`bool.json-2`
1264×	`rational.json-1`
1264×	`rational.json-2`
1264×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	134	31
2	390	31
3	872	31
4	1878	31
5	4398	31

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

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

Outputs

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

simplify140.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1826×	`rational.json-simplify-35`
1310×	`rational.json-simplify-2`
1212×	`rational.json-simplify-48`
1002×	`rational.json-simplify-53`
796×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2784
1	393	2654
2	826	2504
3	1648	2376
4	3105	2376
5	5224	2376
6	6265	2376
7	7880	2376

Stop Event

1×	node limit

Counts

58 → 90

Calls

Call 1

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

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

eval312.0ms (0.6%)

Compiler: Compiled 15467 to 4376 computations (71.7% saved)

prune293.0ms (0.5%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	414	25	439
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	416	25	441

Error

10.2b

Counts

441 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(atan2.f64 (.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	30.2b	(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	27.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	26.4b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	26.6b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	22.4b	(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	28.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 phi2))) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	32.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (sin.f64 phi2) (.f64 (sin.f64 phi2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	34.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	29.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))))
▶	24.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
▶	28.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
	22.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
	27.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	32.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
	21.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
▶	19.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	21.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	34.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))))
	32.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
	34.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	21.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	33.0b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	35.3b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 1676 to 1088 computations (35.1% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.2b	(*.f64 (sin.f64 phi1) (cos.f64 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 86 to 17 computations (80.2% saved)

series7.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite73.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`bool.json-1`
1546×	`bool.json-2`
1512×	`rational.json-1`
1512×	`rational.json-2`
1512×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	143	36
2	407	36
3	924	36
4	2094	36
5	5136	36

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2756×	`rational.json-simplify-2`
1596×	`rational.json-simplify-35`
932×	`rational.json-simplify-53`
866×	`rational.json-simplify-43`
756×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2042
1	370	1994
2	734	1888
3	1358	1772
4	3072	1772
5	4181	1772
6	5609	1772
7	6308	1772
8	6845	1772
9	7056	1772

Stop Event

1×	node limit

Counts

60 → 105

Calls

Call 1

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

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

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	0.3b	(*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 83 to 15 computations (81.9% saved)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 18 computations (81.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`bool.json-1`
1228×	`bool.json-2`
1190×	`rational.json-1`
1190×	`rational.json-2`
1190×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	99	19
2	317	19
3	727	19
4	1668	19
5	4050	19

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))

Outputs

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

simplify193.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2662×	`rational.json-simplify-2`
1952×	`rational.json-simplify-35`
1144×	`rational.json-simplify-53`
1020×	`rational.json-simplify-1`
796×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	749
1	198	741
2	374	705
3	725	645
4	1801	645
5	3110	645
6	4271	645
7	5515	645
8	6305	645
9	6953	645
10	7311	645

Stop Event

1×	node limit

Counts

23 → 55

Calls

Call 1

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

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

localize84.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 119 to 20 computations (83.2% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite130.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`bool.json-1`
1508×	`bool.json-2`
1474×	`rational.json-1`
1474×	`rational.json-2`
1474×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	156	41
2	442	41
3	987	41
4	2175	41
5	5103	41

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify297.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2170×	`rational.json-simplify-2`
1656×	`rational.json-simplify-35`
1234×	`rational.json-simplify-1`
968×	`rational.json-simplify-26`
892×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	2964
1	278	2778
2	573	2664
3	1117	2552
4	2548	2552
5	3606	2552
6	4339	2552
7	4867	2552
8	6118	2552
9	6801	2552
10	7662	2552
11	7862	2552

Stop Event

1×	node limit

Counts

56 → 75

Calls

Call 1

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

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

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))
✓	3.0b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))

Compiler

Compiled 195 to 79 computations (59.5% saved)

series20.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))
2.0ms	lambda2	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))
2.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))
2.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))
1.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`bool.json-1`
1244×	`bool.json-2`
1222×	`rational.json-1`
1222×	`rational.json-2`
1222×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	184
1	297	176
2	790	176
3	1790	176
4	4056	176

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

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

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))))))

simplify558.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2350×	`rational.json-simplify-2`
1628×	`rational.json-simplify-35`
894×	`rational.json-simplify-1`
850×	`rational.json-simplify-42`
756×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	12186
1	397	12040
2	810	11672
3	1775	11332
4	3195	11332
5	3880	11332
6	4581	11332
7	5811	11332
8	6454	11332
9	7129	11332

Stop Event

1×	node limit

Counts

118 → 131

Calls

Call 1

Inputs
(.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (.f64 1/120 (.f64 (pow.f64 phi1 5) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 phi1 5) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (.f64 -1/5040 (.f64 (pow.f64 phi1 7) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))) (.f64 1/24 (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 4) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 6) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (.f64 1/24 (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 4) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (cos.f64 phi2) (sin.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (pow.f64 lambda1 2)) 1/2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (pow.f64 lambda1 2)) 1/2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (cos.f64 phi2) (sin.f64 phi1))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
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(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
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(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 1)
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))
(.f64 (.f64 2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))) 1/2)
(.f64 1/2 (.f64 2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))))
(.f64 (/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 2) 2)
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 1)
(/.f64 (.f64 2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4))) 16)

Outputs
(.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2)))))
(.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
(.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) phi1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))))) (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (pow.f64 phi1 3)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (.f64 -1/6 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (pow.f64 phi1 3) (cos.f64 phi2)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (.f64 1/120 (.f64 (pow.f64 phi1 5) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (pow.f64 phi1 5)))) (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (pow.f64 phi1 3))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (pow.f64 phi1 3) (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (pow.f64 phi1 5)) 1/120))))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 phi1 3)) -1/6)) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 phi1 (.f64 1/120 (pow.f64 phi1 5)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 phi1 5) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))) (.f64 -1/5040 (.f64 (pow.f64 phi1 7) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))))) (+.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (pow.f64 phi1 5)))) (.f64 -1/5040 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (pow.f64 phi1 7))))) (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (pow.f64 phi1 3))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (pow.f64 phi1 3) (cos.f64 phi2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (pow.f64 phi1 5)) 1/120)) (.f64 (cos.f64 phi2) (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (pow.f64 phi1 7)) -1/5040)))))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 phi1 5)) 1/120)) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 phi1 3)) -1/6)) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 phi1 (.f64 -1/5040 (pow.f64 phi1 7))))))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 1/120 (.f64 (cos.f64 phi2) (pow.f64 phi1 5)))) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) (+.f64 phi1 (*.f64 -1/5040 (pow.f64 phi1 7))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (+.f64 (.f64 -1/5040 (pow.f64 phi1 7)) (+.f64 phi1 (*.f64 1/120 (pow.f64 phi1 5))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))
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(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))
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(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (pow.f64 lambda1 2) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
(.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(.f64 (cos.f64 phi2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)) -1/2))
(.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1))))
(.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (sin.f64 lambda2)) (sin.f64 phi1))) (.f64 (cos.f64 phi2) (.f64 (.f64 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)) -1/2)))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) lambda1))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 lambda1 (sin.f64 lambda2)))))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 lambda1 (sin.f64 lambda2)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (sin.f64 lambda2)) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (sin.f64 phi1))) (.f64 (cos.f64 phi2) (.f64 (.f64 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)) -1/2))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (pow.f64 lambda1 2) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (sin.f64 lambda2)) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (sin.f64 phi1))) (.f64 (cos.f64 phi2) (.f64 (.f64 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)) -1/2))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)) (sin.f64 phi1)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (pow.f64 lambda1 2) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 lambda2))) (sin.f64 phi1)))))
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(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))) 4)) (.f64 2 (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))) 4))) 16)
(.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(.f64 2 (/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(.f64 (.f64 2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))) 1/2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(.f64 1/2 (.f64 2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(.f64 (/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 2) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(/.f64 (.f64 2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1)))))))) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(/.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4) 4)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4)) 8)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 lambda1 2)) 1))))))) 4))) 16)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2))))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 -1/2 (pow.f64 lambda1 2)))))))))

eval540.0ms (1%)

Compiler: Compiled 41947 to 12835 computations (69.4% saved)

prune417.0ms (0.7%)

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	1083	38	1121
Fresh	18	2	20
Picked	1	0	1
Done	4	0	4
Total	1106	40	1146

Error

10.0b

Counts

1146 → 40

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.2b	(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	27.7b	(atan2.f64 (.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	34.1b	(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	42.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	31.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	33.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	32.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	29.3b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	31.7b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	22.4b	(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	29.2b	(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	34.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 phi1 (cos.f64 phi2)))))
▶	27.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	35.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
	31.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi2))) (cos.f64 phi2)))))
	21.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	26.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
▶	21.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
▶	37.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	27.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
	28.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	24.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	25.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	32.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
	37.3b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.9b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	37.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	36.8b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	49.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
	40.7b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	38.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	48.5b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	31.4b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 lambda2) 1/2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	47.6b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	37.4b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
▶	34.7b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	43.4b	(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 2422 to 1582 computations (34.7% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))
✓	0.3b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 80 to 16 computations (80% saved)

series5.0ms (0%)

Counts

2 → 44

Calls

21 calls:

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

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`bool.json-1`
1492×	`bool.json-2`
1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	152	62
2	426	62
3	956	62
4	2101	62
5	4959	62

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify216.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2046×	`rational.json-simplify-1`
1660×	`rational.json-simplify-35`
1112×	`rational.json-simplify-2`
690×	`rational.json-simplify-26`
658×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	193	3803
1	475	3647
2	990	3477
3	2160	3395
4	4161	3385
5	4823	3285
6	5999	3285
7	6820	3285
8	7271	3285
9	7700	3285

Stop Event

1×	node limit

Counts

77 → 161

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2)))
(*.f64 (sin.f64 phi1) (cos.f64 lambda2))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) lambda1))) (.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 lambda1 (sin.f64 (neg.f64 lambda2))))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (neg.f64 (.f64 (sin.f64 phi1) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (*.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 lambda1 (sin.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 (neg.f64 (.f64 (sin.f64 phi1) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (.f64 (sin.f64 phi1) lambda1) (.f64 (sin.f64 lambda2) 1)) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) -1/2)))))
(.f64 (sin.f64 phi1) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) lambda1))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 lambda1 (sin.f64 (neg.f64 lambda2))))) (+.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda1 3) (sin.f64 (neg.f64 lambda2)))))))
(+.f64 (neg.f64 (.f64 (sin.f64 phi1) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)) 1/6))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) -1/2)))) (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda1 3) 1/6)) (*.f64 (sin.f64 phi1) (neg.f64 lambda1)))))
(+.f64 (.f64 (.f64 (sin.f64 phi1) lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 -1 lambda1))))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 -1 lambda1))))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 -1 lambda1))))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 -1 lambda1))))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(*.f64 (sin.f64 phi1) (cos.f64 lambda1))
(+.f64 (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
(.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 -1/2 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))) (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda1) -1/2))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 phi1) (sin.f64 lambda1)))) (+.f64 (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (.f64 -1/6 (.f64 (sin.f64 phi1) (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 (sin.f64 phi1) (.f64 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) -1/6))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda1)) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (cos.f64 lambda1) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 lambda2 2))))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 lambda1)) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (sin.f64 phi1))
(*.f64 (sin.f64 phi1) (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
(*.f64 phi1 (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))
(+.f64 (.f64 phi1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 -1/6 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi1 3))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))
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(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 -1/6 (pow.f64 phi1 3)))))
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(sin.f64 phi2)
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(.f64 -1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))
(neg.f64 (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
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(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2))))
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(-.f64 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) lambda1))) (.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2))))
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(-.f64 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) lambda1)) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 lambda1 3))))))) (.f64 (sin.f64 phi1) (cos.f64 (neg.f64 lambda2))))
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(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 phi1)))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 phi1)))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 phi1)))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 phi1)))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 phi1) (sin.f64 lambda1))))) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))
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(-.f64 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 phi1) (sin.f64 lambda1)))))) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))
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(-.f64 (+.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 phi1) (sin.f64 lambda1)))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 phi1) (sin.f64 lambda1))))))) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))
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(.f64 (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))) 4) 1/4)
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(neg.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 phi2))))
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(-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
	0.3b	(*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 73 to 14 computations (80.8% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`bool.json-1`
1298×	`bool.json-2`
1264×	`rational.json-1`
1264×	`rational.json-2`
1264×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	134	31
2	390	31
3	872	31
4	1878	31
5	4398	31

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify142.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1824×	`rational.json-simplify-35`
1310×	`rational.json-simplify-2`
1226×	`rational.json-simplify-48`
992×	`rational.json-simplify-53`
814×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2784
1	392	2644
2	825	2504
3	1650	2376
4	3109	2376
5	5238	2376
6	6240	2376
7	7864	2376

Stop Event

1×	node limit

Counts

58 → 91

Calls

Call 1

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

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

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	0.2b	(*.f64 (sin.f64 phi1) (cos.f64 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 81 to 16 computations (80.2% saved)

series6.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	lambda2	@	-inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))
0.0ms	phi2	@	inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))
0.0ms	phi2	@	-inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))
0.0ms	phi2	@	0	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))
0.0ms	phi1	@	0	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`bool.json-1`
1136×	`bool.json-2`
1102×	`rational.json-1`
1102×	`rational.json-2`
1102×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	116	25
2	350	25
3	785	25
4	1707	25
5	3938	25
6	7765	25

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify180.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2678×	`rational.json-simplify-2`
1912×	`rational.json-simplify-35`
1080×	`rational.json-simplify-43`
1074×	`rational.json-simplify-48`
1042×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1338
1	258	1308
2	540	1198
3	1061	1118
4	2737	1118
5	4094	1118
6	4614	1118
7	4922	1118
8	5538	1118
9	6546	1118
10	7958	1118

Stop Event

1×	node limit

Counts

30 → 68

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 100 to 19 computations (81% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`bool.json-1`
1188×	`bool.json-2`
1154×	`rational.json-1`
1154×	`rational.json-2`
1154×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	124	31
2	351	31
3	776	31
4	1707	31
5	3965	31

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify1.0s (1.8%)

Algorithm

1×	egg-herbie

Rules

2332×	`rational.json-simplify-2`
1724×	`rational.json-simplify-35`
1224×	`rational.json-simplify-1`
908×	`rational.json-simplify-26`
894×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1384
1	188	1116
2	359	1044
3	710	1008
4	1761	1008
5	3026	1008
6	4170	1008
7	4560	1008
8	5561	1008
9	6108	1008
10	6520	1008
11	6848	1008
12	7767	1008

Stop Event

1×	node limit

Counts

30 → 47

Calls

Call 1

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

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

localize88.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))
✓	12.4b	(+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))

Compiler

Compiled 158 to 71 computations (55.1% saved)

series5.0ms (0%)

Counts

2 → 35

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	inf	(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))
1.0ms	lambda2	@	inf	(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))
1.0ms	lambda1	@	0	(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))
0.0ms	phi2	@	inf	(+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))
0.0ms	phi2	@	0	(+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`bool.json-1`
1388×	`bool.json-2`
1344×	`rational.json-1`
1344×	`rational.json-2`
1344×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	175	78
2	425	78
3	851	78
4	1858	78
5	4447	78

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs
(+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))
(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (*.f64 4 (sin.f64 (-.f64 lambda1 lambda2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (*.f64 4 (sin.f64 (-.f64 lambda1 lambda2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (*.f64 4 (sin.f64 (-.f64 lambda1 lambda2)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))))))))

simplify187.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2572×	`rational.json-simplify-51`
1782×	`rational.json-simplify-2`
1706×	`rational.json-simplify-35`
1140×	`rational.json-simplify-41`
624×	`rational.json-simplify-26`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	116	3178
1	279	3048
2	730	2896
3	1369	2778
4	2560	2778
5	3900	2778
6	4689	2778
7	5224	2778
8	5620	2778
9	6026	2746

Stop Event

1×	node limit

Counts

60 → 80

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 phi2 2))
(*.f64 1/24 (pow.f64 phi2 4))
(*.f64 1/24 (pow.f64 phi2 4))
(.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))
(.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))))
(.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))))
(+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))) (*.f64 (cos.f64 lambda2) lambda1)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (neg.f64 (sin.f64 lambda2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)))
(+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (pow.f64 lambda1 2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (cos.f64 lambda2) lambda1)) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (pow.f64 lambda1 2) (neg.f64 (sin.f64 lambda2)))))))
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(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))
(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 1/24 (.f64 (pow.f64 phi2 4) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))
(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 1/24 (.f64 (pow.f64 phi2 4) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) 0)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 4 (/.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 4))
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) 1/2))
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 (.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))) 1/2)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 (.f64 4 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))) 1/4)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) 1/2) 2)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 1/4 (.f64 4 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 4) 4)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(/.f64 (.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) 2)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(/.f64 (.f64 4 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) 4)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) 8)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))) 16)
(+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 1/24 (pow.f64 phi2 4)))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) 0)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 0 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1/2)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(-.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) 0)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2))) 1)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 4 (sin.f64 (-.f64 lambda1 lambda2)))) 4)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (*.f64 4 (sin.f64 (-.f64 lambda1 lambda2))))) 8)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 4 (sin.f64 (-.f64 lambda1 lambda2)))))) 16)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))) (sin.f64 (-.f64 lambda1 lambda2)))

eval671.0ms (1.2%)

Compiler: Compiled 41667 to 13568 computations (67.4% saved)

prune884.0ms (1.6%)

Pruning

64 alts after pruning (64 fresh and 0 done)

	Pruned	Kept	Total
New	1163	41	1204
Fresh	12	23	35
Picked	1	0	1
Done	4	0	4
Total	1180	64	1244

Error

9.9b

Counts

1244 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	35.8b	(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	39.4b	(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	39.9b	(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	40.2b	(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	27.7b	(atan2.f64 (.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	33.5b	(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	42.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	31.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	31.7b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	29.3b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
▶	39.3b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	31.7b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	22.4b	(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	28.7b	(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	24.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	25.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
	32.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
	35.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
	35.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
▶	21.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	33.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
	26.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
	27.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (sin.f64 phi1))))
	32.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
	28.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
	37.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	45.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
	28.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	24.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	25.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
	22.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
	34.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
	33.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
	34.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
▶	32.3b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	37.3b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.9b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	44.1b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	37.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	39.8b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	49.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
	38.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	40.7b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	48.3b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	38.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	48.5b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	47.6b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	40.2b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	37.4b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	38.6b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	37.5b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	34.7b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
▶	45.2b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
	46.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
	34.7b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	39.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
	41.5b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	46.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
	43.4b	(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	43.7b	(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	46.0b	(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 3496 to 2326 computations (33.5% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 86 to 17 computations (80.2% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`bool.json-1`
1136×	`bool.json-2`
1102×	`rational.json-1`
1102×	`rational.json-2`
1102×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	116	25
2	350	25
3	785	25
4	1707	25
5	3938	25
6	7764	25

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify180.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2688×	`rational.json-simplify-2`
1904×	`rational.json-simplify-35`
1076×	`rational.json-simplify-48`
1064×	`rational.json-simplify-43`
1030×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1338
1	259	1278
2	550	1178
3	1084	1118
4	2761	1118
5	4124	1118
6	4623	1118
7	4934	1118
8	5534	1118
9	6548	1118
10	7958	1118

Stop Event

1×	node limit

Counts

30 → 65

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	0	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
0.0ms	lambda1	@	-inf	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
0.0ms	lambda2	@	-inf	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
0.0ms	phi2	@	-inf	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
0.0ms	lambda1	@	inf	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`bool.json-1`
1372×	`bool.json-2`
1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	122	31
2	353	31
3	806	31
4	1816	31
5	4427	31

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))))

simplify185.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-26`
1640×	`rational.json-simplify-52`
1410×	`rational.json-simplify-35`
918×	`rational.json-simplify-2`
802×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	1738
1	108	1722
2	288	1722
3	551	1722
4	1177	1722
5	2241	1722
6	3050	1722
7	4225	1722
8	4921	1722
9	5787	1722
10	6367	1722
11	7178	1722

Stop Event

1×	node limit

Counts

54 → 27

Calls

Call 1

Inputs
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(+.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(-.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)
(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1/2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 1/2)
(.f64 4 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 1/4)
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1/2) 2)
(.f64 1/4 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))
(.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 4)
(/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))) 16)

Outputs
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (neg.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (neg.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (neg.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (neg.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(+.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(-.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1/2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 1/2)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 4 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 1/4)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1/2) 2)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 1/4 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 4)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 2)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4) 4)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4)) 8)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 4))) 16)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
✓	0.3b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 106 to 52 computations (50.9% saved)

series11.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	lambda2	@	0	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
1.0ms	lambda1	@	inf	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
1.0ms	lambda2	@	inf	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
1.0ms	phi2	@	inf	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
1.0ms	phi1	@	inf	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))

rewrite104.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`bool.json-1`
1718×	`bool.json-2`
1678×	`rational.json-1`
1678×	`rational.json-2`
1180×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	210	116
2	555	116
3	1229	116
4	2731	116
5	6015	116

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))

(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 4)) (*.f64 2 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 4)))) (*.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))))

simplify328.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1206×	`rational.json-simplify-2`
1034×	`rational.json-simplify-41`
832×	`rational.json-simplify-26`
676×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	8089
1	420	7953
2	862	7759
3	1750	7655
4	3322	7655
5	5286	7655
6	6739	7655
7	7803	7655

Stop Event

1×	node limit

Counts

119 → 108

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) lambda1)))) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 (neg.f64 lambda2)))))
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(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 lambda1)))
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(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 phi2 2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 phi2 2)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 phi2 4)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 phi2 6)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 phi2 2)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 phi2 4)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi1 (cos.f64 phi2))))
(+.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 0)
(+.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))
(-.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 0)
(.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 1)
(.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))))
(.f64 2 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 2))
(.f64 2 (.f64 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2) 1))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2) 1/2)
(.f64 1/2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 2))
(.f64 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 2) 2)
(/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 1)
(/.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 2) 2)
(/.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 4)) (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) 4))) 16)
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) 0)
(+.f64 0 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))
(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) 0)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))) 1)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 2))) 2)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 4))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 4))))) 16)

Outputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -1))))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
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(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
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(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
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(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 (pow.f64 phi1 3) 1/6))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (-.f64 phi1 (.f64 (pow.f64 phi1 3) 1/6)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 (pow.f64 phi1 3) 1/6))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (-.f64 phi1 (.f64 (pow.f64 phi1 3) 1/6)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 (pow.f64 phi1 3) 1/6))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (-.f64 phi1 (.f64 (pow.f64 phi1 3) 1/6)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 phi1 (*.f64 (pow.f64 phi1 3) 1/6))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (-.f64 phi1 (.f64 (pow.f64 phi1 3) 1/6)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 phi1 -1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 phi1 -1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 phi1 -1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 phi1 -1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 -1/6 (pow.f64 phi1 3)) (neg.f64 phi1))))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 (neg.f64 lambda2))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) lambda1)))) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2))) (.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2))) (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2)) (neg.f64 (.f64 lambda1 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (neg.f64 (sin.f64 lambda2)))))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 (cos.f64 phi2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) lambda1)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (.f64 (cos.f64 phi2) (.f64 (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 (neg.f64 lambda2))))))
(+.f64 (.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) -1/2))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))))
(+.f64 (.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))) (.f64 (sin.f64 lambda2) 1)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (neg.f64 (.f64 lambda1 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (neg.f64 (sin.f64 lambda2)))))))
(.f64 (cos.f64 phi2) (+.f64 (neg.f64 (.f64 lambda1 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (neg.f64 (sin.f64 lambda2))))) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) lambda1)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1) (cos.f64 (neg.f64 lambda2)))))))
(+.f64 (.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) (+.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) -1/2))) (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (pow.f64 lambda1 3) (cos.f64 phi2)))))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))) (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))))))
(+.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))) (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) 1/6)) (neg.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))))
(+.f64 (.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))) (sin.f64 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)))) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
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(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
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(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 2))) 2)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 4))) 4)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 phi2) 4)))) 8)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 4)))) (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) 4))))) 16)
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1)))
	0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
	0.2b	(.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))
	2.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 88 to 17 computations (80.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

12 calls:

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

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`bool.json-1`
1696×	`bool.json-2`
1662×	`rational.json-1`
1662×	`rational.json-2`
1226×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	174	51
2	478	51
3	1071	51
4	2395	51
5	5652	51

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify248.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2104×	`rational.json-simplify-2`
1692×	`rational.json-simplify-35`
906×	`rational.json-simplify-52`
888×	`rational.json-simplify-48`
866×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	2847
1	275	2803
2	583	2647
3	1089	2637
4	2405	2529
5	3652	2529
6	4775	2529
7	5321	2529
8	5788	2529
9	6269	2529
10	6898	2529

Stop Event

1×	node limit

Counts

49 → 95

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 18 computations (81.8% saved)

series14.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	phi2	@	-inf	(.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2))
1.0ms	lambda2	@	0	(*.f64 (cos.f64 lambda2) lambda1)
1.0ms	lambda1	@	0	(*.f64 (cos.f64 lambda2) lambda1)
0.0ms	phi2	@	inf	(.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2))
0.0ms	lambda2	@	-inf	(.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2))

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`bool.json-1`
1410×	`bool.json-2`
1372×	`rational.json-1`
1372×	`rational.json-2`
1372×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	138	46
2	396	46
3	883	46
4	2012	46
5	4754	46

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

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

Outputs

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

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

simplify221.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2076×	`rational.json-simplify-53`
2026×	`rational.json-simplify-2`
1628×	`rational.json-simplify-35`
956×	`rational.json-simplify-1`
656×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1874
1	251	1868
2	549	1786
3	1104	1728
4	2683	1728
5	3949	1728
6	4401	1728
7	5185	1728
8	5674	1728
9	6021	1728
10	6131	1728
11	7919	1728

Stop Event

1×	node limit

Counts

56 → 78

Calls

Call 1

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

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

eval330.0ms (0.6%)

Compiler: Compiled 31499 to 10948 computations (65.2% saved)

prune334.0ms (0.6%)

Pruning

63 alts after pruning (62 fresh and 1 done)

	Pruned	Kept	Total
New	975	32	1007
Fresh	29	30	59
Picked	1	0	1
Done	3	1	4
Total	1008	63	1071

Error

9.9b

Counts

1071 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	40.9b	(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	46.9b	(atan2.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
	47.6b	(atan2.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
	44.5b	(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	47.4b	(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
	45.7b	(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
	45.0b	(atan2.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
	39.3b	(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	27.7b	(atan2.f64 (.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	40.8b	(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (sin.f64 phi2))
	42.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	38.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
	39.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
	29.3b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
	34.0b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	31.7b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
	39.4b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
	38.2b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	29.8b	(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	37.4b	(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
	24.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	25.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
	33.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
	26.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
	27.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (sin.f64 phi1))))
	32.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
	28.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
	37.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	28.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	25.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	24.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
	22.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
	33.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
	34.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
✓	32.3b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	37.3b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.9b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	43.8b	(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	49.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
	35.3b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	40.7b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	43.2b	(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
	47.6b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	49.4b	(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	38.3b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
	41.2b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
	46.7b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
	37.4b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	40.4b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	37.5b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	34.7b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
	46.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
	34.7b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	41.5b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	44.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
	47.3b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
	42.6b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
	49.4b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
	45.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
	49.4b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
	50.5b	(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
	46.0b	(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 1609 to 1087 computations (32.4% saved)

regimes705.0ms (1.3%)

Counts

139 → 2

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi2))) (cos.f64 phi2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 phi2))) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 lambda2) 1/2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (sin.f64 phi2) (.f64 (sin.f64 phi2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2)))))))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (+.f64 (sin.f64 lambda1) (+.f64 (*.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (*.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Calls

6 calls:

176.0ms	phi2
173.0ms	lambda2
120.0ms	lambda1
65.0ms	(-.f64 lambda1 lambda2)
63.0ms	phi1

Results

Error	Segments	Branch
12.6b	2	`lambda1`
13.0b	3	`lambda2`
14.1b	1	`phi1`
13.0b	3	`phi2`
14.1b	1	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3408 to 766 computations (77.5% saved)

bsearch138.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
137.0ms	3.105760711962671e+104	5.540199093905486e+111

Results

98.0ms	86×	body	1024	valid
35.0ms	58×	body	512	valid

Compiler

Compiled 674 to 437 computations (35.2% saved)

regimes484.0ms (0.9%)

Counts

129 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi2))) (cos.f64 phi2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 phi2))) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 lambda2) 1/2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (sin.f64 phi2) (.f64 (sin.f64 phi2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (+.f64 (sin.f64 lambda1) (+.f64 (*.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (*.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Calls

6 calls:

151.0ms	phi2
62.0ms	(-.f64 lambda1 lambda2)
59.0ms	lambda2
58.0ms	lambda1
57.0ms	phi1

Results

Error	Segments	Branch
14.1b	1	`lambda1`
14.1b	1	`lambda2`
14.1b	1	`phi1`
13.0b	3	`phi2`
14.1b	1	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2969 to 609 computations (79.5% saved)

bsearch180.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
66.0ms	9.848447366787235e-143	2.107841037619397e-142
112.0ms	7.759465488769463e-207	5.4798588043349186e-201

Results

117.0ms	118×	body	1024	valid
28.0ms	40×	body	512	valid
18.0ms	61×	body	256	valid
11.0ms	5×	body	2048	valid

Compiler

Compiled 987 to 639 computations (35.3% saved)

regimes462.0ms (0.8%)

Counts

122 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (*.f64 lambda1 (cos.f64 phi2))) (cos.f64 phi2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (*.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 phi2))) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 lambda2) 1/2))))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Calls

6 calls:

151.0ms	phi2
58.0ms	lambda2
55.0ms	(-.f64 lambda1 lambda2)
55.0ms	phi1
54.0ms	lambda1

Results

Error	Segments	Branch
14.1b	1	`lambda1`
14.1b	1	`lambda2`
14.1b	1	`phi1`
13.1b	3	`phi2`
14.1b	1	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
14.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2717 to 523 computations (80.8% saved)

bsearch179.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	9.848447366787235e-143	2.107841037619397e-142
113.0ms	1.290152283097559e-200	1.6333380319844477e-195

Results

128.0ms	124×	body	1024	valid
23.0ms	38×	body	512	valid
17.0ms	59×	body	256	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 819 to 527 computations (35.7% saved)

regimes297.0ms (0.5%)

Counts

88 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (sin.f64 phi1))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Calls

5 calls:

105.0ms	phi2
44.0ms	(-.f64 lambda1 lambda2)
41.0ms	phi1
40.0ms	lambda1
38.0ms	lambda2

Results

Error	Segments	Branch
14.1b	1	`lambda1`
14.1b	1	`lambda2`
14.1b	1	`phi1`
13.1b	3	`phi2`
14.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1727 to 316 computations (81.7% saved)

bsearch185.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	9.848447366787235e-143	2.107841037619397e-142
116.0ms	1.290152283097559e-200	1.6333380319844477e-195

Results

123.0ms	123×	body	1024	valid
21.0ms	32×	body	512	valid
20.0ms	63×	body	256	valid
17.0ms	6×	body	2048	valid

Compiler

Compiled 819 to 527 computations (35.7% saved)

regimes12.9s (23%)

Counts

86 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Calls

5 calls:

12.5s	phi2
167.0ms	lambda2
160.0ms	lambda1
40.0ms	phi1
39.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
13.8b	3	`lambda1`
13.8b	3	`lambda2`
19.5b	1	`phi1`
15.5b	5	`phi2`
19.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1679 to 311 computations (81.5% saved)

bsearch187.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	4.634980371138092e+23	1.640979521960893e+24
114.0ms	-13765.197537681663	-0.7483271625403056

Results

129.0ms	110×	body	1024	valid
29.0ms	44×	body	512	valid
18.0ms	52×	body	256	valid
5.0ms	2×	body	2048	valid

Compiler

Compiled 734 to 496 computations (32.4% saved)

regimes900.0ms (1.6%)

Counts

83 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

Calls

5 calls:

360.0ms	phi2
322.0ms	lambda2
104.0ms	lambda1
45.0ms	(-.f64 lambda1 lambda2)
39.0ms	phi1

Results

Error	Segments	Branch
13.8b	3	`lambda1`
13.8b	3	`lambda2`
19.5b	1	`phi1`
15.5b	5	`phi2`
19.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1608 to 308 computations (80.8% saved)

bsearch270.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
66.0ms	4.634980371138092e+23	1.640979521960893e+24
202.0ms	-13765.197537681663	-0.7483271625403056

Results

124.0ms	110×	body	1024	valid
75.0ms	51×	body	256	valid
57.0ms	44×	body	512	valid
9.0ms	3×	body	2048	valid

Compiler

Compiled 724 to 491 computations (32.2% saved)

regimes768.0ms (1.4%)

Counts

82 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

Calls

5 calls:

320.0ms	phi2
192.0ms	lambda1
103.0ms	lambda2
82.0ms	(-.f64 lambda1 lambda2)
38.0ms	phi1

Results

Error	Segments	Branch
13.8b	3	`lambda1`
13.8b	3	`lambda2`
19.5b	1	`phi1`
15.5b	5	`phi2`
19.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1586 to 307 computations (80.6% saved)

bsearch240.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	4.634980371138092e+23	1.640979521960893e+24
172.0ms	-13765.197537681663	-0.7483271625403056

Results

192.0ms	123×	body	1024	valid
25.0ms	36×	body	512	valid
16.0ms	48×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 724 to 491 computations (32.2% saved)

regimes1.1s (1.9%)

Counts

80 → 7

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))

Outputs
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

369.0ms	lambda1
363.0ms	lambda2
172.0ms	phi2
118.0ms	(-.f64 lambda1 lambda2)
36.0ms	phi1

Results

Error	Segments	Branch
14.8b	7	`lambda1`
17.0b	3	`lambda2`
21.1b	1	`phi1`
20.1b	3	`phi2`
21.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1542 to 304 computations (80.3% saved)

bsearch1.4s (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
253.0ms	7.666734024559473e+182	6.029553875330291e+187
136.0ms	2.0283774476226808e-16	882.6474934914949
500.0ms	8.50313916130594e-80	7.497023693071577e-73
86.0ms	1.327462751808612e-143	1.2913802688528214e-142
153.0ms	-1.3986677522039455e-96	-4.7271268392156575e-99
277.0ms	-32990210442737.33	-210784811629.0236

Results

1.2s	506×	body	1024	valid
89.0ms	113×	body	512	valid
49.0ms	158×	body	256	valid
19.0ms	7×	body	2048	valid

Compiler

Compiled 2567 to 1760 computations (31.4% saved)

regimes1.1s (2%)

Counts

78 → 6

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

Outputs
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

368.0ms	lambda1
307.0ms	lambda2
274.0ms	phi2
41.0ms	(-.f64 lambda1 lambda2)
37.0ms	phi1

Results

Error	Segments	Branch
15.9b	6	`lambda1`
17.0b	3	`lambda2`
21.1b	1	`phi1`
20.1b	3	`phi2`
21.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1498 to 302 computations (79.8% saved)

bsearch828.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
176.0ms	7.666734024559473e+182	6.029553875330291e+187
151.0ms	2.0283774476226808e-16	882.6474934914949
142.0ms	8.50313916130594e-80	7.497023693071577e-73
95.0ms	1.327462751808612e-143	1.2913802688528214e-142
263.0ms	-9.854914167571227e-33	-8.354438411604131e-51

Results

598.0ms	456×	body	1024	valid
114.0ms	134×	body	256	valid
74.0ms	103×	body	512	valid
28.0ms	11×	body	2048	valid

Compiler

Compiled 2282 to 1566 computations (31.4% saved)

regimes458.0ms (0.8%)

Counts

77 → 4

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))

Outputs
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

137.0ms	lambda1
109.0ms	phi2
104.0ms	lambda2
40.0ms	phi1
39.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
17.7b	4	`lambda1`
19.7b	3	`lambda2`
21.1b	1	`phi1`
20.1b	3	`phi2`
21.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1477 to 301 computations (79.6% saved)

bsearch459.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
166.0ms	7.666734024559473e+182	6.029553875330291e+187
158.0ms	2.0283774476226808e-16	882.6474934914949
135.0ms	-2.3848837237272804e+26	-32990210442737.33

Results

366.0ms	312×	body	1024	valid
48.0ms	72×	body	512	valid
26.0ms	76×	body	256	valid
8.0ms	4×	body	2048	valid

Compiler

Compiled 1492 to 1036 computations (30.6% saved)

regimes253.0ms (0.5%)

Counts

76 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))) -1))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

(atan2.f64 (*.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

Calls

5 calls:

89.0ms	phi2
38.0ms	(-.f64 lambda1 lambda2)
35.0ms	lambda2
33.0ms	lambda1
33.0ms	phi1

Results

Error	Segments	Branch
21.1b	1	`lambda1`
21.1b	1	`lambda2`
21.1b	1	`phi1`
20.1b	3	`phi2`
21.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1457 to 299 computations (79.5% saved)

bsearch178.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	9.848447366787235e-143	2.107841037619397e-142
114.0ms	1.290152283097559e-200	1.6333380319844477e-195

Results

126.0ms	124×	body	1024	valid
24.0ms	40×	body	512	valid
18.0ms	58×	body	256	valid
5.0ms	2×	body	2048	valid

Compiler

Compiled 777 to 513 computations (34% saved)

regimes161.0ms (0.3%)

Counts

63 → 1

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Outputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

Calls

5 calls:

31.0ms	(-.f64 lambda1 lambda2)
28.0ms	lambda1
28.0ms	lambda2
28.0ms	phi2
27.0ms	phi1

Results

Error	Segments	Branch
21.1b	1	`lambda1`
21.1b	1	`lambda2`
21.1b	1	`phi1`
21.1b	1	`phi2`
21.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1155 to 246 computations (78.7% saved)

regimes368.0ms (0.7%)

Counts

59 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Calls

5 calls:

83.0ms	phi2
73.0ms	lambda1
73.0ms	(-.f64 lambda1 lambda2)
26.0ms	lambda2
25.0ms	phi1

Results

Error	Segments	Branch
20.6b	3	`lambda1`
21.8b	1	`lambda2`
21.8b	1	`phi1`
20.6b	2	`phi2`
20.4b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1070 to 240 computations (77.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1213.657355242855	162525579645.1299
0.0ms	-4.634980371138092e+23	-163590655179616030.0

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes455.0ms (0.8%)

Counts

55 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (sin.f64 phi1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))

Calls

5 calls:

206.0ms	phi1
71.0ms	lambda2
68.0ms	lambda1
66.0ms	phi2
26.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
20.8b	3	`lambda1`
20.7b	3	`lambda2`
21.6b	3	`phi1`
20.3b	3	`phi2`
24.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 986 to 235 computations (76.2% saved)

bsearch334.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	843866.1788361237	1480162.8776409985
275.0ms	-0.0005301600338029286	-1.690647130087506e-10

Results

275.0ms	109×	body	1024	valid
26.0ms	40×	body	512	valid
18.0ms	54×	body	256	valid
10.0ms	5×	body	2048	valid

Compiler

Compiled 685 to 452 computations (34% saved)

regimes367.0ms (0.7%)

Counts

45 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 phi2 (cos.f64 phi1))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))

Calls

5 calls:

108.0ms	lambda2
56.0ms	phi1
55.0ms	lambda1
54.0ms	phi2
21.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
21.4b	3	`lambda1`
21.8b	3	`lambda2`
21.6b	3	`phi1`
21.3b	3	`phi2`
24.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 786 to 204 computations (74% saved)

bsearch218.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	4.585602605180462e-13	2.8037232056541413e-11
129.0ms	-0.0005301600338029286	-1.690647130087506e-10

Results

151.0ms	140×	body	1024	valid
27.0ms	37×	body	512	valid
23.0ms	73×	body	256	valid
13.0ms	6×	body	2048	valid

Compiler

Compiled 787 to 535 computations (32% saved)

regimes256.0ms (0.5%)

Counts

35 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 lambda2 (sin.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))

Calls

5 calls:

112.0ms	lambda1
45.0ms	phi1
43.0ms	phi2
30.0ms	(-.f64 lambda1 lambda2)
16.0ms	lambda2

Results

Error	Segments	Branch
25.0b	4	`lambda1`
28.0b	1	`lambda2`
21.6b	3	`phi1`
21.5b	3	`phi2`
26.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 585 to 164 computations (72% saved)

bsearch376.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
187.0ms	7.233945004299451	843866.1788361237
189.0ms	-0.0005301600338029286	-1.690647130087506e-10

Results

241.0ms	163×	body	1024	valid
89.0ms	70×	body	256	valid
37.0ms	53×	body	512	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 827 to 563 computations (31.9% saved)

regimes184.0ms (0.3%)

Counts

25 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))

Calls

5 calls:

56.0ms	lambda1
41.0ms	phi1
39.0ms	phi2
23.0ms	(-.f64 lambda1 lambda2)
13.0ms	lambda2

Results

Error	Segments	Branch
25.0b	4	`lambda1`
28.0b	1	`lambda2`
21.8b	3	`phi1`
21.5b	3	`phi2`
26.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 398 to 130 computations (67.3% saved)

bsearch308.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
137.0ms	7.233945004299451	843866.1788361237
171.0ms	-0.0005301600338029286	-1.690647130087506e-10

Results

235.0ms	173×	body	1024	valid
45.0ms	51×	body	512	valid
20.0ms	63×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 773 to 527 computations (31.8% saved)

regimes306.0ms (0.5%)

Counts

23 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))
(atan2.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi2 2) -1/2))) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (-.f64 -1 (*.f64 lambda2 lambda1)))))
(atan2.f64 (sin.f64 lambda1) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 lambda1) (sin.f64 phi1))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))

Calls

5 calls:

88.0ms	(-.f64 lambda1 lambda2)
86.0ms	lambda1
58.0ms	lambda2
34.0ms	phi1
33.0ms	phi2

Results

Error	Segments	Branch
26.0b	8	`lambda1`
28.9b	4	`lambda2`
21.8b	3	`phi1`
22.1b	3	`phi2`
27.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 365 to 126 computations (65.5% saved)

bsearch270.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
120.0ms	8.930903822658715e-32	2.775632613716394e-28
149.0ms	-19.74904250678348	-0.0002992036454539508

Results

195.0ms	168×	body	1024	valid
42.0ms	57×	body	512	valid
17.0ms	42×	body	256	valid
10.0ms	5×	body	2048	valid

Compiler

Compiled 783 to 516 computations (34.1% saved)

regimes192.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi2) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (neg.f64 phi1))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))

Calls

5 calls:

58.0ms	lambda1
41.0ms	(-.f64 lambda1 lambda2)
32.0ms	lambda2
26.0ms	phi1
25.0ms	phi2

Results

Error	Segments	Branch
27.4b	7	`lambda1`
29.0b	4	`lambda2`
22.0b	3	`phi1`
22.1b	3	`phi2`
29.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 262 to 99 computations (62.2% saved)

bsearch262.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
126.0ms	8.930903822658715e-32	2.775632613716394e-28
136.0ms	-19.74904250678348	-0.0002992036454539508

Results

193.0ms	162×	body	1024	valid
29.0ms	46×	body	512	valid
18.0ms	55×	body	256	valid
17.0ms	9×	body	2048	valid

Compiler

Compiled 647 to 448 computations (30.8% saved)

regimes127.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 (neg.f64 phi1))))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

33.0ms	lambda1
28.0ms	(-.f64 lambda1 lambda2)
21.0ms	lambda2
21.0ms	phi1
20.0ms	phi2

Results

Error	Segments	Branch
28.9b	5	`lambda1`
30.5b	3	`lambda2`
23.0b	3	`phi1`
22.1b	3	`phi2`
30.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 177 to 81 computations (54.2% saved)

bsearch266.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
132.0ms	7.233945004299451	843866.1788361237
133.0ms	-0.0005301600338029286	-1.690647130087506e-10

Results

191.0ms	156×	body	1024	valid
36.0ms	53×	body	512	valid
28.0ms	77×	body	256	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 665 to 455 computations (31.6% saved)

regimes86.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))
(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))

Outputs

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1)))

(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

20.0ms	lambda2
18.0ms	phi2
18.0ms	phi1
17.0ms	(-.f64 lambda1 lambda2)
7.0ms	lambda1

Results

Error	Segments	Branch
32.3b	1	`lambda1`
31.1b	3	`lambda2`
29.5b	3	`phi1`
28.5b	3	`phi2`
30.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 146 to 72 computations (50.7% saved)

bsearch187.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	1.1076959495506482e+29	1.552634421491277e+33
57.0ms	-4.2027829440827606e-75	-2.823385106760632e-75

Results

129.0ms	108×	body	1024	valid
22.0ms	34×	body	512	valid
22.0ms	45×	body	256	valid
11.0ms	5×	body	2048	valid

Compiler

Compiled 431 to 311 computations (27.8% saved)

regimes32.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (neg.f64 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (sin.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (.f64 lambda2 (sin.f64 phi1)))))
(atan2.f64 (*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))

Outputs
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

7.0ms	(-.f64 lambda1 lambda2)
7.0ms	lambda1
6.0ms	phi1
5.0ms	phi2
5.0ms	lambda2

Results

Error	Segments	Branch
32.3b	1	`lambda1`
32.3b	1	`lambda2`
32.3b	1	`phi1`
32.3b	1	`phi2`
32.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 105 to 56 computations (46.7% saved)

regimes80.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))

(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

Outputs

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))

(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

29.0ms	(-.f64 lambda1 lambda2)
16.0ms	phi1
14.0ms	phi2
10.0ms	lambda1
9.0ms	lambda2

Results

Error	Segments	Branch
34.2b	3	`lambda1`
33.8b	3	`lambda2`
40.2b	4	`phi1`
37.0b	4	`phi2`
37.4b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 55 to 37 computations (32.7% saved)

bsearch180.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	4.634980371138092e+23	1.640979521960893e+24
108.0ms	-1.8813805381311375e-7	-3.89257941077655e-10

Results

132.0ms	121×	body	1024	valid
29.0ms	47×	body	512	valid
13.0ms	39×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 386 to 296 computations (23.3% saved)

regimes37.0ms (0.1%)

Accuracy

Total -12.8b remaining (-33.1%)

Threshold costs -12.8b (-33.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))

Outputs
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))

Calls

5 calls:

9.0ms	phi1
9.0ms	phi2
8.0ms	lambda2
8.0ms	lambda1
3.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
39.6b	3	`lambda1`
39.6b	3	`lambda2`
42.2b	3	`phi1`
38.5b	3	`phi2`
43.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch216.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
119.0ms	1.1076959495506482e+29	1.552634421491277e+33
97.0ms	-0.03756496754745181	-0.0005301600338029286

Results

151.0ms	136×	body	1024	valid
33.0ms	46×	body	512	valid
17.0ms	52×	body	256	valid
12.0ms	6×	body	2048	valid

Compiler

Compiled 410 to 308 computations (24.9% saved)

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	4997

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 lambda1 4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 phi2 7446130555187683/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 3703135674690055/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 360401877156857/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 824789309362785/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -2206763817411543/2251799813685248) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -3152519739159347/2251799813685248) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -7746191359077253/9007199254740992) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda1 -760000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 lambda1 -6772219815005301/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda1 4063960214797321/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 3023725277371503/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (if (<=.f64 lambda1 1662273001970115/75557863725914323419136) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 54999999999999999724305012441479597313000345994048522429110119915942320969476072307009241911913122046615524566335190395827509043621602171932150169998757897916998259342732661202950840909824) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))))))))
(if (<=.f64 lambda1 -191822089899681/45671926166590716193865151022383844364247891968) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 6590205753725385/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 55948864096101/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (if (<=.f64 lambda1 7932099951695107/36893488147419103232) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 27499999999999999862152506220739798656500172997024261214555059957971160484738036153504620955956561023307762283167595197913754521810801085966075084999378948958499129671366330601475420454912) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2)))))))
(if (<=.f64 lambda1 -1400000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 662929865148937/288230376151711744) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda1 59999999999999998293955459748065617179508780745512081086692010924142532454979260170730393980428706037691929860757452081825058581586410668520498854164831286548394947113133539967953348329472) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2)))))
(if (<=.f64 phi2 6164221759627/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 phi2 686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(if (<=.f64 (-.f64 lambda1 lambda2) -399999999999999966445568) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 (-.f64 lambda1 lambda2) 2000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 -6050532056176733/73786976294838206464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (if (<=.f64 phi2 850000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 phi2 (cos.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))))
(if (<=.f64 phi2 -1438846037749345/18446744073709551616) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1))) (if (<=.f64 phi2 4332790137498831/154742504910672534362390528) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 phi2 (cos.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))))
(if (<=.f64 phi2 -6935975771714791/73786976294838206464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1))) (if (<=.f64 phi2 8219069319951155/1125899906842624) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))))
(if (<=.f64 phi2 -7378697629483821/590295810358705651712) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1))) (if (<=.f64 phi2 8219069319951155/1125899906842624) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))))
(if (<=.f64 phi1 -5072854620270127/576460752303423488) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (if (<=.f64 phi1 1505300300900817/5575186299632655785383929568162090376495104) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 phi1 -5534023222112865/4611686018427387904) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (if (<=.f64 phi1 1505300300900817/5575186299632655785383929568162090376495104) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 phi2 -8264141345021879/73786976294838206464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 8219069319951155/1125899906842624) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -4277775550302421/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 115000000000000005101481623552) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(if (<=.f64 lambda2 -4110347786689739/4835703278458516698824704) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -5072854620270127/1152921504606846976) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 115000000000000005101481623552) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))

Outputs
(if (<=.f64 lambda1 4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 phi2 7446130555187683/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 3703135674690055/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 360401877156857/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 824789309362785/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 phi2 686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -2206763817411543/2251799813685248) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -3152519739159347/2251799813685248) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -7746191359077253/9007199254740992) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda1 -760000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 lambda1 -6772219815005301/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda1 4063960214797321/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 3023725277371503/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (if (<=.f64 lambda1 1662273001970115/75557863725914323419136) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 54999999999999999724305012441479597313000345994048522429110119915942320969476072307009241911913122046615524566335190395827509043621602171932150169998757897916998259342732661202950840909824) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))))))))
(if (<=.f64 lambda1 -191822089899681/45671926166590716193865151022383844364247891968) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 6590205753725385/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 55948864096101/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (if (<=.f64 lambda1 7932099951695107/36893488147419103232) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda1 27499999999999999862152506220739798656500172997024261214555059957971160484738036153504620955956561023307762283167595197913754521810801085966075084999378948958499129671366330601475420454912) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2)))))))
(if (<=.f64 lambda1 -1400000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 662929865148937/288230376151711744) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda1 59999999999999998293955459748065617179508780745512081086692010924142532454979260170730393980428706037691929860757452081825058581586410668520498854164831286548394947113133539967953348329472) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2)))))
(if (<=.f64 phi2 6164221759627/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 phi2 686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(if (<=.f64 (-.f64 lambda1 lambda2) -399999999999999966445568) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (if (<=.f64 (-.f64 lambda1 lambda2) 2000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 -6050532056176733/73786976294838206464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))) (if (<=.f64 phi2 850000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 phi2 (cos.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))))
(if (<=.f64 phi2 -1438846037749345/18446744073709551616) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1))) (if (<=.f64 phi2 4332790137498831/154742504910672534362390528) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 phi2 (cos.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))))
(if (<=.f64 phi2 -6935975771714791/73786976294838206464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1))) (if (<=.f64 phi2 8219069319951155/1125899906842624) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))))
(if (<=.f64 phi2 -7378697629483821/590295810358705651712) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1))) (if (<=.f64 phi2 8219069319951155/1125899906842624) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (sin.f64 phi1)))))
(if (<=.f64 phi1 -5072854620270127/576460752303423488) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (if (<=.f64 phi1 1505300300900817/5575186299632655785383929568162090376495104) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 phi1 -5534023222112865/4611686018427387904) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (if (<=.f64 phi1 1505300300900817/5575186299632655785383929568162090376495104) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 phi2 -8264141345021879/73786976294838206464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 8219069319951155/1125899906842624) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -4277775550302421/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 115000000000000005101481623552) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (sin.f64 phi1))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(if (<=.f64 lambda2 -4110347786689739/4835703278458516698824704) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 lambda2 480000000000000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -5072854620270127/1152921504606846976) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 115000000000000005101481623552) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))

Compiler

Compiled 1719 to 724 computations (57.9% saved)

soundness449.0ms (0.8%)

Algorithm

3×	egg-herbie

Rules

2034×	`rational.json-simplify-35`
2034×	`rational.json-simplify-35`
1800×	`rational.json-simplify-35`
1366×	`rational.json-simplify-26`
1082×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	38	77
2	67	77
3	111	77
4	194	77
5	374	77
6	837	77
7	2196	77
8	4868	77
9	5851	77
10	6651	77
11	7437	77
0	20	77
1	38	77
2	67	77
3	111	77
4	194	77
5	374	77
6	837	77
7	2196	77
8	4868	77
9	5851	77
10	6651	77
11	7437	77
0	249	3422
1	591	3250
2	1337	3144
3	2364	2998
4	4064	2998
5	5095	2998
6	6687	2998
7	7649	2998

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 518 to 165 computations (68.1% saved)

end337.0ms (0.6%)

Compiler: Compiled 1623 to 281 computations (82.7% saved)