Details

analyze3.4s (2.4%)

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)

sample31.5s (22.3%)

Results

24.6s	5495×	body	1024	valid
3.3s	1321×	body	512	valid
1.9s	222×	body	2048	valid
1.7s	1218×	body	256	valid

Bogosity

preprocess232.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1558×	`rational_best-simplify-53`
1130×	`rational_best-simplify-49`
1118×	`rational_best-simplify-51`
784×	`rational_best-simplify-52`
762×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	539
1	121	539
2	367	539
3	935	539
4	1920	539
5	5026	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 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 (cos.f64 phi2) (.f64 (sin.f64 phi1) (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 (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 (sin.f64 lambda1) (.f64 (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 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (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 (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 (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)

simplify185.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational_best-simplify-52`
1368×	`rational_best-simplify-51`
1328×	`rational_best-simplify-48`
862×	`rational_best-simplify-67`
640×	`rational_best-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	34	77
2	80	77
3	183	77
4	365	77
5	940	77
6	3743	77

Stop Event

1×	node limit

Counts

1 → 5

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

eval2.0ms (0%)

Compiler: Compiled 124 to 32 computations (74.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

12.2b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.2b	(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)))))
▶	12.2b	(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

▶

12.2b

(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)))))

▶

12.2b

(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)

localize118.0ms (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 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
✓	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
✓	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 96 to 17 computations (82.3% saved)

series101.0ms (0.1%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
25.0ms	lambda1	@	0	(sin.f64 (-.f64 lambda1 lambda2))
21.0ms	phi2	@	-inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
19.0ms	phi1	@	inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
13.0ms	lambda2	@	-inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
3.0ms	lambda1	@	inf	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite394.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`rational_best-simplify-62`
592×	`rational_best-simplify-81`
560×	`rational_best-4`
560×	`rational_best-2`
560×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	105	74
2	281	74
3	1188	74
4	6268	74

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify572.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best-simplify-63`
958×	`rational_best-simplify-47`
882×	`rational_best-simplify-3`
798×	`rational_best-simplify-50`
762×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	10611
1	1458	10309
2	4210	9545

Stop Event

1×	node limit

Counts

273 → 367

Calls

Call 1

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

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

localize89.0ms (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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 94 to 17 computations (81.9% saved)

series20.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	lambda2	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	phi2	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	phi1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))

rewrite180.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational_best-4`
1824×	`rational_best-2`
1824×	`rational_best-3`
1824×	`rational_best-1`
1824×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	88	31
2	219	31
3	814	31
4	3945	31

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

simplify279.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational_best-simplify-63`
906×	`rational_best-simplify-55`
714×	`rational_best-simplify-50`
710×	`rational_best-simplify-48`
706×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	3183
1	470	3117
2	1216	3109
3	3161	2815

Stop Event

1×	node limit

Counts

65 → 91

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

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

eval899.0ms (0.6%)

Compiler: Compiled 25932 to 6990 computations (73% saved)

prune878.0ms (0.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	671	26	697
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	672	27	699

Error

6.2b

Counts

699 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	50.1b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	45.6b	(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	25.6b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1)) (.f64 (cos.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	23.3b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	6.4b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 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)))))
	26.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 lambda1 lambda2)))))
▶	24.5b	(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 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.2b	(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	18.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 phi2 lambda2)))) (.f64 (sin.f64 phi1) 2)) 4)))
	44.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (.f64 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (.f64 (PI.f64) 1/2) phi1))))) 8)))
	40.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 phi2 (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 phi1 (-.f64 phi2 (*.f64 1/2 (PI.f64))))))) 2)))
	12.2b	(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)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	12.2b	(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)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	21.4b	(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)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
✓	12.2b	(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)))))
▶	18.7b	(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 (neg.f64 lambda2)))))
	30.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
	31.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (-.f64 (*.f64 -1/2 (pow.f64 phi2 2)) -1))))
	33.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3))))))
	33.9b	(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 phi1 (cos.f64 phi2)))))
▶	21.4b	(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))))
	19.1b	(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 lambda1)))))
	30.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 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)))))
	30.6b	(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 (-.f64 lambda1 lambda2))))))
	34.4b	(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 (-.f64 lambda1 lambda2))))))
	47.6b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 1860 to 1231 computations (33.8% saved)

localize180.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 145 to 24 computations (83.4% saved)

series18.0ms (0%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	inf	(.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2))
3.0ms	lambda2	@	inf	(.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2))
3.0ms	phi2	@	inf	(.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2))
1.0ms	lambda2	@	-inf	(.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2))
1.0ms	lambda1	@	-inf	(.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2))

rewrite272.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`rational_best-simplify-56`
662×	`rational_best-simplify-62`
658×	`rational_best-4`
658×	`rational_best-2`
658×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	137	68
2	359	68
3	1466	64
4	6537	64

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify368.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational_best-simplify-48`
1240×	`rational_best-simplify-52`
1190×	`rational_best-simplify-1`
1082×	`rational_best-simplify-51`
978×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	4898
1	612	4862
2	1482	4784
3	3854	4762

Stop Event

1×	node limit

Counts

96 → 135

Calls

Call 1

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

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

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 80 to 16 computations (80% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite186.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`rational_best-4`
1518×	`rational_best-2`
1518×	`rational_best-3`
1518×	`rational_best-1`
1518×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	69	21
2	180	21
3	667	21
4	3253	21

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify431.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

780×	`rational_best-simplify-47`
668×	`rational_best-simplify-64`
662×	`rational_best-simplify-65`
608×	`rational_best-simplify-3`
602×	`rational_best-simplify-108`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	1811
1	353	1729
2	868	1627
3	2218	1485
4	7984	1385

Stop Event

1×	node limit

Counts

39 → 77

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

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

localize111.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
	0.1b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 92 to 18 computations (80.4% saved)

series4.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite157.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational_best-simplify-51`
1008×	`rational_best-4`
1008×	`rational_best-2`
1008×	`rational_best-3`
1008×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	57	15
2	156	15
3	550	15
4	2285	15

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify222.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational_best-simplify-3`
790×	`rational_best-simplify-108`
774×	`rational_best-simplify-49`
740×	`rational_best-simplify-67`
664×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1531
1	333	1531
2	860	1511
3	2595	1463

Stop Event

1×	node limit

Counts

35 → 77

Calls

Call 1

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

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

localize118.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 117 to 21 computations (82.1% saved)

series27.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	lambda1	@	inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2))
4.0ms	phi2	@	inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2))
1.0ms	lambda1	@	-inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2))
1.0ms	lambda2	@	inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2))
1.0ms	phi2	@	0	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2))

rewrite276.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational_best-simplify-63`
1336×	`rational_best-4`
1336×	`rational_best-2`
1336×	`rational_best-3`
1336×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	95	35
2	235	35
3	729	31
4	3063	31

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify504.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational_best-simplify-85`
864×	`rational_best-simplify-50`
806×	`rational_best-simplify-80`
798×	`rational_best-simplify-63`
634×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	125	2624
1	318	2456
2	759	2426
3	1819	2304
4	6779	2140

Stop Event

1×	node limit

Counts

58 → 82

Calls

Call 1

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

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

localize239.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2))
	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.9b	(.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))

Compiler

Compiled 169 to 67 computations (60.4% saved)

series29.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	lambda2	@	0	(.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))
8.0ms	lambda1	@	-inf	(.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2))
1.0ms	phi2	@	inf	(.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2))
1.0ms	lambda2	@	inf	(.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2))
1.0ms	phi2	@	0	(.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2))

rewrite223.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational_best-4`
1468×	`rational_best-2`
1468×	`rational_best-3`
1468×	`rational_best-1`
1468×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	138	88
2	288	84
3	855	84
4	3388	84

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs

(*.f64 (sin.f64 lambda1) (-.f64 (*.f64 -1/2 (pow.f64 lambda2 2)) -1))

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

Outputs

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

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

simplify350.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-50`
1086×	`rational_best-simplify-63`
1004×	`rational_best-simplify-47`
912×	`rational_best-simplify-1`
640×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	5429
1	478	5265
2	1101	5009
3	2715	4633

Stop Event

1×	node limit

Counts

93 → 141

Calls

Call 1

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

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

eval3.3s (2.4%)

Compiler: Compiled 61568 to 17776 computations (71.1% saved)

prune3.2s (2.3%)

Pruning

54 alts after pruning (52 fresh and 2 done)

	Pruned	Kept	Total
New	1471	42	1513
Fresh	11	10	21
Picked	1	0	1
Done	3	2	5
Total	1486	54	1540

Error

0.1b

Counts

1540 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	49.4b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	49.5b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	50.1b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	50.4b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	50.3b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	38.8b	(atan2.f64 (-.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	46.3b	(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	23.2b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	24.2b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))))
	29.1b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	36.5b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
	37.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	0.1b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	18.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	12.9b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	13.3b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	28.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	15.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	26.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	32.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
▶	24.4b	(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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
	30.3b	(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) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.2b	(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	21.4b	(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	42.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	43.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))) 2)))
	45.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi1 (-.f64 lambda1 lambda2))))) 2)))
	21.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (sin.f64 phi1))))
	21.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (sin.f64 phi1))))
	27.1b	(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))))
	12.2b	(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)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
✓	12.2b	(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)))))
	30.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
	24.8b	(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 (neg.f64 lambda2)))))
	25.1b	(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 lambda1))))
	33.9b	(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 phi1 (cos.f64 phi2)))))
✓	21.4b	(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))))
▶	34.3b	(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)) phi1)))
▶	19.1b	(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 lambda1)))))
	36.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	24.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	30.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 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)))))
	30.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	35.7b	(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))))
	30.6b	(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 (-.f64 lambda1 lambda2))))))
	40.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	39.3b	(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))))
▶	47.6b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	47.9b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	6.4b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	37.7b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	44.8b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 3649 to 2415 computations (33.8% saved)

localize378.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 190 to 25 computations (86.8% saved)

series51.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	lambda2	@	inf	(*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))
11.0ms	phi2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
3.0ms	phi1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
2.0ms	lambda1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
2.0ms	phi1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))

rewrite305.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best-simplify-57`
852×	`rational_best-4`
852×	`rational_best-2`
852×	`rational_best-3`
852×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	144	50
2	408	50
3	1826	50

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify771.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

962×	`rational_best-simplify-56`
936×	`rational_best-simplify-47`
830×	`rational_best-simplify-1`
672×	`rational_best-simplify-50`
656×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	320	6515
1	854	6379
2	2220	5897
3	7237	5833

Stop Event

1×	node limit

Counts

139 → 211

Calls

Call 1

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

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

localize444.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 75 to 15 computations (80% saved)

series4.0ms (0%)

Counts

1 → 16

Calls

9 calls:

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

rewrite160.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`rational_best-simplify-51`
704×	`rational_best-simplify-47`
688×	`rational_best-4`
688×	`rational_best-2`
688×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	57	17
2	116	17
3	359	17
4	1509	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify254.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-48`
892×	`rational_best-simplify-51`
804×	`rational_best-simplify-52`
756×	`rational_best-simplify-57`
698×	`rational_best-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1157
1	272	1083
2	669	973
3	1819	803

Stop Event

1×	node limit

Counts

33 → 53

Calls

Call 1

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

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

localize91.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.2b	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 86 to 17 computations (80.2% saved)

series6.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite334.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational_best-4`
1626×	`rational_best-2`
1626×	`rational_best-3`
1626×	`rational_best-1`
1626×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	78	25
2	209	25
3	790	25
4	3672	25

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify542.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational_best-simplify-1`
1064×	`rational_best-simplify-63`
938×	`rational_best-simplify-62`
544×	`rational_best-simplify-55`
542×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	1702
1	360	1702
2	887	1622
3	2301	1514
4	7575	1502

Stop Event

1×	node limit

Counts

38 → 82

Calls

Call 1

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

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

localize230.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2))
	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
✓	20.5b	(cos.f64 (+.f64 lambda2 (-.f64 (*.f64 (PI.f64) 1/2) lambda1)))

Compiler

Compiled 123 to 43 computations (65% saved)

series9.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	phi2	@	inf	(.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2))
1.0ms	phi2	@	0	(.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2))
1.0ms	lambda2	@	0	(cos.f64 (+.f64 lambda2 (-.f64 (*.f64 (PI.f64) 1/2) lambda1)))
1.0ms	lambda2	@	0	(.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2))
1.0ms	lambda1	@	0	(.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2))

rewrite390.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational_best-simplify-80`
968×	`rational_best-simplify-62`
940×	`rational_best-simplify-85`
900×	`rational_best-simplify-1`
482×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	109	60
2	301	60
3	1097	32
4	5612	32

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

simplify522.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational_best-simplify-55`
996×	`rational_best-simplify-47`
686×	`rational_best-simplify-3`
632×	`rational_best-simplify-48`
602×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	9932
1	1279	9660
2	3701	9408

Stop Event

1×	node limit

Counts

208 → 334

Calls

Call 1

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

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

localize116.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 130 to 21 computations (83.8% saved)

series27.0ms (0%)

Counts

2 → 52

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	lambda2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	lambda1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	lambda1	@	-inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	lambda2	@	-inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))
1.0ms	phi1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))

rewrite308.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`rational_best-4`
1778×	`rational_best-2`
1778×	`rational_best-3`
1778×	`rational_best-1`
1778×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	104	52
2	254	52
3	918	52
4	4007	52

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify714.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational_best-simplify-63`
1272×	`rational_best-simplify-1`
1062×	`rational_best-simplify-47`
1022×	`rational_best-simplify-51`
744×	`rational_best-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	3462
1	416	3432
2	1028	3432
3	2809	3098

Stop Event

1×	node limit

Counts

76 → 97

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

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

eval4.5s (3.2%)

Compiler: Compiled 70117 to 19865 computations (71.7% saved)

prune4.3s (3%)

Pruning

81 alts after pruning (79 fresh and 2 done)

	Pruned	Kept	Total
New	1641	49	1690
Fresh	17	30	47
Picked	1	0	1
Done	4	2	6
Total	1663	81	1744

Error

0.1b

Counts

1744 → 81

Alt Table

Click to see full alt table

Status	Error	Program
	49.5b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	51.2b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	49.6b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	51.9b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	50.3b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	38.7b	(atan2.f64 (-.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
	38.8b	(atan2.f64 (-.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	26.3b	(atan2.f64 (+.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (.f64 (pow.f64 lambda1 2) -1/2)) (.f64 -1/6 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) (cos.f64 phi2)))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	22.2b	(atan2.f64 (.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2))) (sin.f64 (-.f64 lambda1 lambda2)))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	47.1b	(atan2.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) 2)) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	49.2b	(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	36.8b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 lambda1)) (.f64 (sin.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (sin.f64 (neg.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	6.4b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	23.8b	(atan2.f64 (.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	41.2b	(atan2.f64 (.f64 (+.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2))) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	37.4b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	36.5b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
	37.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
	28.3b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) phi1))))
	15.8b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
	18.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	12.9b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
▶	13.3b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	28.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.1b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))))))
	0.1b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))))))
	15.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	29.1b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	26.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	32.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	40.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	32.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	38.7b	(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)) phi1)))
	30.9b	(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) (sin.f64 phi1))))
▶	34.3b	(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	19.1b	(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	42.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	42.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
	43.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))) 2)))
	45.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi1 (-.f64 lambda1 lambda2))))) 2)))
	21.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (sin.f64 phi1))))
	21.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (sin.f64 phi1))))
	35.7b	(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)))
	12.2b	(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)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	30.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
	24.8b	(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 (neg.f64 lambda2)))))
	25.6b	(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))))
	25.1b	(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 lambda1))))
✓	21.4b	(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))))
✓	34.3b	(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)) phi1)))
	34.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) phi1)))
	33.9b	(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 lambda1)))))
	34.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
	36.9b	(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 lambda1)))))
	24.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	25.0b	(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)))))
	30.5b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	30.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 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)))))
	30.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	35.7b	(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))))
	43.0b	(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)) phi1)))
	30.6b	(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 (-.f64 lambda1 lambda2))))))
	37.4b	(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 lambda1)))))
	40.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
	39.3b	(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))))
▶	45.5b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	34.5b	(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 lambda1)))))
	48.9b	(atan2.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	53.8b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (.f64 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (*.f64 (PI.f64) 1/2) phi1))))) 8)))
	47.6b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	47.5b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	47.9b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	50.7b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
▶	49.2b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	0.1b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	25.9b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 (neg.f64 lambda2))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	37.7b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	34.4b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	44.8b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	44.8b	(atan2.f64 (.f64 lambda2 (neg.f64 (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))

Compiler

Compiled 5531 to 3613 computations (34.7% saved)

localize132.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 188 to 26 computations (86.2% saved)

series19.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	phi2	@	inf	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (cos.f64 lambda2))))
1.0ms	lambda1	@	inf	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (cos.f64 lambda2))))
1.0ms	lambda2	@	-inf	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (cos.f64 lambda2))))
1.0ms	phi2	@	0	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (cos.f64 lambda2))))
1.0ms	lambda1	@	-inf	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (cos.f64 lambda2))))

rewrite327.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`rational_best-simplify-1`
978×	`rational_best-simplify-56`
958×	`rational_best-simplify-80`
864×	`rational_best-simplify-79`
540×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	116	49
2	303	49
3	1178	49
4	5297	49

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify390.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1772×	`rational_best-simplify-63`
810×	`rational_best-simplify-55`
780×	`rational_best-simplify-47`
740×	`rational_best-simplify-65`
596×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	4584
1	459	4526
2	1122	4360
3	2822	4198

Stop Event

1×	node limit

Counts

72 → 108

Calls

Call 1

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

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

localize98.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 15 computations (78.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite182.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`rational_best-simplify-51`
1008×	`rational_best-4`
1008×	`rational_best-2`
1008×	`rational_best-3`
1008×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	57	15
2	156	15
3	550	15
4	2289	15

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify206.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational_best-simplify-65`
1102×	`rational_best-simplify-3`
766×	`rational_best-simplify-49`
694×	`rational_best-simplify-67`
626×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1771
1	338	1771
2	857	1771
3	2562	1703

Stop Event

1×	node limit

Counts

51 → 78

Calls

Call 1

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

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

localize261.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	2.5b	(cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 157 to 70 computations (55.4% saved)

series33.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	lambda1	@	0	(cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.0ms	lambda2	@	0	(*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	lambda1	@	0	(*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	lambda2	@	-inf	(*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	lambda2	@	0	(cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite285.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`rational_best-4`
2048×	`rational_best-2`
2048×	`rational_best-3`
2048×	`rational_best-1`
364×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	81	73
2	219	73
3	813	61
4	4630	61

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs
(cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
(*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))

Outputs

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

simplify354.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

824×	`rational_best-simplify-47`
804×	`rational_best-simplify-1`
770×	`rational_best-simplify-55`
716×	`rational_best-simplify-52`
706×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	7236
1	984	7014
2	2591	6806

Stop Event

1×	node limit

Counts

188 → 246

Calls

Call 1

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

Outputs
(cos.f64 (*.f64 -1/2 lambda2))
(+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1)))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) lambda1))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 2) -1/8))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (*.f64 -1/8 (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1)))))
(+.f64 (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3)))))
(+.f64 (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 3) 1/48))))
(+.f64 (+.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/48 (pow.f64 lambda1 3)))))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(cos.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(cos.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(cos.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(cos.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (*.f64 1/2 lambda1))
(cos.f64 (*.f64 lambda1 1/2))
(+.f64 (.f64 1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 lambda1)))) (cos.f64 (.f64 1/2 lambda1)))
(+.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 lambda2 1/2)))
(+.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (.f64 (sin.f64 (.f64 lambda1 1/2)) 1/2)))
(+.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (.f64 1/2 (sin.f64 (.f64 lambda1 1/2)))))
(+.f64 (.f64 1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 lambda1)))) (+.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (cos.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (pow.f64 lambda2 2) -1/8)) (+.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (*.f64 lambda2 1/2))))
(+.f64 (cos.f64 (.f64 lambda1 1/2)) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 lambda1 1/2)) 1/2)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (*.f64 -1/8 (pow.f64 lambda2 2)))))
(+.f64 (.f64 lambda2 (.f64 1/2 (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (-.f64 (.f64 -1/8 (pow.f64 lambda2 2)) -1)))
(+.f64 (.f64 1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (sin.f64 (.f64 1/2 lambda1)))) (+.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 lambda1)))))))
(+.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 lambda2 1/2)) (+.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (pow.f64 lambda2 2) -1/8)) (+.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 (pow.f64 lambda2 3) -1/48)))))
(+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 lambda1 1/2)) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 -1/8 (pow.f64 lambda2 2))) (+.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 -1/48 (pow.f64 lambda2 3))))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) (-.f64 (.f64 -1/8 (pow.f64 lambda2 2)) -1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (+.f64 (.f64 lambda2 1/2) (*.f64 -1/48 (pow.f64 lambda2 3)))))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(cos.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(cos.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(cos.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(cos.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(cos.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(cos.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(cos.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(cos.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (*.f64 -1/2 lambda2))
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(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1))))
(sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (*.f64 1/2 lambda1))
(sin.f64 (*.f64 lambda1 1/2))
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(+.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 lambda1 1/2)))))
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(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))
(.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (*.f64 -1/2 lambda2)))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) (sin.f64 (.f64 -1/2 (+.f64 lambda2 (*.f64 lambda1 -1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) (sin.f64 (.f64 -1/2 (+.f64 lambda2 (*.f64 lambda1 -1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) (sin.f64 (.f64 -1/2 (+.f64 lambda2 (*.f64 lambda1 -1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) (sin.f64 (.f64 -1/2 (+.f64 lambda2 (*.f64 lambda1 -1)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))
(.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda1 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) lambda2))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda1 1/2))) (.f64 lambda2 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) lambda2)))
(+.f64 (.f64 lambda2 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (pow.f64 lambda2 2)))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda1 1/2)))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda1 1/2))) (+.f64 (.f64 lambda2 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 (sin.f64 (*.f64 lambda1 1/2)) (pow.f64 lambda2 2))))))
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(+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (+.f64 (.f64 1/16 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (+.f64 (.f64 1/48 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (.f64 -1/16 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 lambda2 3)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) lambda2))))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
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(-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0)) (-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))) (.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 lambda2 lambda1))))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) (sin.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)))))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))))
(+.f64 0 (-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4))) (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (+.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4))))
(.f64 -2 (neg.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) 2))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 0))) (-.f64 0 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0)))
(-.f64 (+.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4))) (.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 0))) (-.f64 0 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (+.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0)) (.f64 -2 (neg.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) 2)))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (neg.f64 (.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 0)))) (.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 0)) (-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2)))) (.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 lambda2 lambda1))))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) (sin.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)))))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))))
(+.f64 0 (-.f64 (.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))
(-.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -4))) (.f64 (sin.f64 (+.f64 (*.f64 (PI.f64) 1/2) (/.f64 (-.f64 lambda1 lambda2) -4))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -4))))
(-.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -4))) (.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (-.f64 lambda1 lambda2) -4))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -4))))
(-.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -4))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -4)) (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (-.f64 lambda1 lambda2) -4)))))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (cos.f64 0))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 2 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 1/2)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 2 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (/.f64 (cos.f64 0) 2))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (cos.f64 0) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 1/2 (.f64 2 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 1/2 (.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (cos.f64 0)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 1/4)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (/.f64 (cos.f64 0) 4))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (+.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4))))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (+.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4))))
(.f64 -2 (neg.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) 2))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(.f64 2 (.f64 (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4))) (cos.f64 0)))
(.f64 2 (.f64 (cos.f64 0) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)))))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 2 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 4)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (.f64 2 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 8)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (cos.f64 (/.f64 (-.f64 lambda1 (+.f64 (PI.f64) lambda2)) 2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (/.f64 (-.f64 lambda1 (+.f64 lambda2 (PI.f64))) 2))) 2)
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(cos.f64 (*.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))
(cos.f64 (*.f64 1/2 (+.f64 (PI.f64) (-.f64 lambda2 lambda1))))
(+.f64 (*.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 1/2) 0)
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 0 (*.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 1/2))
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 4) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 4))
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 (/.f64 (sin.f64 0) 2) (/.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (*.f64 (PI.f64) 1/2))) 2))
(/.f64 (+.f64 (sin.f64 0) (cos.f64 (-.f64 lambda1 (+.f64 (*.f64 1/2 (PI.f64)) lambda2)))) 2)
(/.f64 (+.f64 (sin.f64 0) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (*.f64 1/2 (PI.f64)))))) 2)
(+.f64 (/.f64 (sin.f64 0) 2) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2))
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 (/.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (*.f64 (PI.f64) 1/2))) 2) (/.f64 (sin.f64 0) 2))
(/.f64 (+.f64 (sin.f64 0) (cos.f64 (-.f64 lambda1 (+.f64 (*.f64 1/2 (PI.f64)) lambda2)))) 2)
(/.f64 (+.f64 (sin.f64 0) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (*.f64 1/2 (PI.f64)))))) 2)
(+.f64 (/.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (*.f64 (PI.f64) 1/2))) 2) (+.f64 (/.f64 (sin.f64 0) 2) 0))
(/.f64 (+.f64 (sin.f64 0) (cos.f64 (-.f64 lambda1 (+.f64 (*.f64 1/2 (PI.f64)) lambda2)))) 2)
(/.f64 (+.f64 (sin.f64 0) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (*.f64 1/2 (PI.f64)))))) 2)
(+.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) (/.f64 (sin.f64 0) 2))
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(+.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) (+.f64 (/.f64 (sin.f64 0) 2) 0))
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(-.f64 (*.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 1/2) 0)
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(-.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 1/2)) 2))
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 1/2) 1)
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 2)
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 2 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0))) 4)
(/.f64 (*.f64 2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))) 4)
(/.f64 (*.f64 4 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))) 8)
(/.f64 (+.f64 (.f64 2 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0))) (.f64 2 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)))) 8)
(/.f64 (*.f64 2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))) 4)
(/.f64 (*.f64 4 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (.f64 2 (.f64 2 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 16)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)) 16)
(/.f64 (.f64 4 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 2 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 4)
(/.f64 (.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (+.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 2 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (.f64 2 (.f64 2 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 16)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)) 16)
(/.f64 (.f64 4 (.f64 (cos.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))) 16)
(pow.f64 (*.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) 1/2) 1)
(*.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))))

localize145.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2))
	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.5b	(cos.f64 (-.f64 lambda1 lambda2))
✓	32.9b	(cos.f64 (+.f64 lambda2 (*.f64 1/2 (PI.f64))))

Compiler

Compiled 110 to 36 computations (67.3% saved)

series65.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	phi2	@	0	(.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2))
1.0ms	phi2	@	inf	(.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2))
1.0ms	lambda2	@	0	(.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2))
1.0ms	lambda2	@	0	(cos.f64 (+.f64 lambda2 (*.f64 1/2 (PI.f64))))
0.0ms	phi2	@	-inf	(.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2))

rewrite367.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`rational_best-1`
1946×	`rational_best-4`
1946×	`rational_best-2`
1946×	`rational_best-3`
1946×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	99	48
2	292	48
3	1039	28
4	4887	28

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(cos.f64 (+.f64 lambda2 (*.f64 1/2 (PI.f64))))
(.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2))

Outputs

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

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

simplify447.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

852×	`rational_best-simplify-50`
704×	`rational_best-simplify-47`
602×	`rational_best-simplify-1`
590×	`rational_best-simplify-108`
502×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	3746
1	693	3652
2	1951	3532
3	7539	3504

Stop Event

1×	node limit

Counts

118 → 171

Calls

Call 1

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

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

localize80.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 132 to 22 computations (83.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite161.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`rational_best-4`
1178×	`rational_best-2`
1178×	`rational_best-3`
1178×	`rational_best-1`
1178×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	67	19
2	183	19
3	636	19
4	2746	19

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify281.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational_best-simplify-56`
1292×	`rational_best-simplify-108`
1010×	`rational_best-simplify-1`
506×	`rational_best-simplify-64`
418×	`rational_best-simplify-65`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	100	1185
1	231	1185
2	540	1145
3	1310	1101
4	5198	1091

Stop Event

1×	node limit

Counts

39 → 62

Calls

Call 1

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

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

eval3.3s (2.3%)

Compiler: Compiled 67080 to 21944 computations (67.3% saved)

prune2.9s (2%)

Pruning

94 alts after pruning (92 fresh and 2 done)

	Pruned	Kept	Total
New	1545	39	1584
Fresh	21	53	74
Picked	1	0	1
Done	4	2	6
Total	1571	94	1665

Error

0.1b

Counts

1665 → 94

Alt Table

Click to see full alt table

Status	Error	Program
	49.5b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	51.2b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	52.6b	(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 phi2 lambda1)) (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) lambda1)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	38.7b	(atan2.f64 (-.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
	38.8b	(atan2.f64 (-.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	45.5b	(atan2.f64 (+.f64 (/.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) 4) (/.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) 3)) 4)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	26.3b	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 -1/2 (pow.f64 lambda1 2)) -1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	27.0b	(atan2.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	22.2b	(atan2.f64 (.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2))) (sin.f64 (-.f64 lambda1 lambda2)))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	47.1b	(atan2.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) 2)) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	49.2b	(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	6.4b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	23.8b	(atan2.f64 (.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	41.2b	(atan2.f64 (.f64 (+.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2))) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	37.4b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	43.4b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (+.f64 lambda2 lambda1)))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	39.3b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	39.5b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi2 phi1)))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	36.8b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 lambda1))))
	37.6b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
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	30.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
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✓	21.4b	(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))))
✓	34.3b	(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)) phi1)))
	34.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) phi1)))
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	45.5b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
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	45.5b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	48.9b	(atan2.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
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	47.5b	(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
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	15.8b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
	13.3b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
	0.1b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))))))
	12.9b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))
	25.9b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
	51.3b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	44.8b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	50.1b	(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	44.8b	(atan2.f64 (.f64 lambda2 (neg.f64 (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
	51.4b	(atan2.f64 (sin.f64 lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	48.8b	(atan2.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 3180 to 2124 computations (33.2% saved)

regimes2.3s (1.7%)

Counts

158 → 1

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (cos.f64 lambda1) phi1)))
(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)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) 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)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (-.f64 (.f64 -1/2 (pow.f64 phi1 2)) -1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 phi2 2)) -1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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 (.f64 (cos.f64 phi1) (sin.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 (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 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 (neg.f64 lambda2)))))
(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 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 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 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.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) phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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)) (.f64 phi1 (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)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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)) phi1)))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 phi2 lambda1)) (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) lambda1)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 lambda1 1/2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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 lambda1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(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 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (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 (neg.f64 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 (neg.f64 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 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 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 phi2) (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 (.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 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 lambda2 (neg.f64 (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(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) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (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) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (-.f64 (*.f64 -1/2 (pow.f64 phi2 2)) -1))))
(atan2.f64 (.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 1) (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 (/.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) 4) (/.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) 3)) 4)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))) 2)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.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 (.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 phi2 lambda2)))) (.f64 (sin.f64 phi1) 2)) 4)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (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 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1)) (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 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) phi1)))
(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)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (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 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (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 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (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 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (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 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.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 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi1 (-.f64 lambda1 lambda2))))) 2)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (sin.f64 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) phi1) (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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) 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 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (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 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (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 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 phi2 (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 phi1 (-.f64 phi2 (*.f64 1/2 (PI.f64))))))) 2)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.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 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (.f64 (PI.f64) 1/2) phi1))))) 8)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (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 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 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)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 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 (+.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1)) (.f64 (cos.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))) (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 (+.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2))) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (.f64 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (*.f64 (PI.f64) 1/2) phi1))))) 8)))
(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)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 (neg.f64 lambda2))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (+.f64 lambda2 lambda1)))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) 1/2)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 (pow.f64 lambda1 3) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/48)) (sin.f64 (.f64 -1/2 lambda2)))))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 lambda1)) (.f64 (sin.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (sin.f64 (neg.f64 lambda1)))) (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 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi2 phi1)))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) 2)) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))) 2) (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 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))))
(atan2.f64 (.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2))) (sin.f64 (-.f64 lambda1 lambda2)))) 2) (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 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 -1/2 (pow.f64 lambda1 2)) -1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (+.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (.f64 (pow.f64 lambda1 2) -1/2)) (.f64 -1/6 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) (cos.f64 phi2)))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))

Outputs

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

Calls

6 calls:

350.0ms	phi1
315.0ms	lambda2
315.0ms	lambda1
300.0ms	phi2
290.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
0.1b	1	`lambda1`
0.1b	1	`lambda2`
0.1b	1	`phi1`
0.1b	1	`phi2`
0.1b	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)))))`
0.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4939 to 1151 computations (76.7% saved)

regimes2.9s (2.1%)

Counts

153 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

609.0ms	(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)))))
491.0ms	lambda1
460.0ms	phi2
365.0ms	(-.f64 lambda1 lambda2)
322.0ms	phi1

Results

Error	Segments	Branch
0.1b	1	`lambda1`
0.1b	1	`lambda2`
0.1b	1	`phi1`
0.1b	1	`phi2`
0.1b	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)))))`
0.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4696 to 1117 computations (76.2% saved)

regimes4.3s (3%)

Counts

152 → 3

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (cos.f64 lambda1) phi1)))
(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)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) 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)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (-.f64 (.f64 -1/2 (pow.f64 phi1 2)) -1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 phi2 2)) -1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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 (.f64 (cos.f64 phi1) (sin.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 (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 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 (neg.f64 lambda2)))))
(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 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 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 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.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) phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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)) (.f64 phi1 (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)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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)) phi1)))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 phi2 lambda1)) (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) lambda1)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 lambda1 1/2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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 lambda1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(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 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (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 (neg.f64 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 (neg.f64 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 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 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 phi2) (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 (.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 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 lambda2 (neg.f64 (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(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) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (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) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (-.f64 (*.f64 -1/2 (pow.f64 phi2 2)) -1))))
(atan2.f64 (.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 1) (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 (/.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) 4) (/.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) 3)) 4)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))) 2)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.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 (.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 phi2 lambda2)))) (.f64 (sin.f64 phi1) 2)) 4)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (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 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1)) (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 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) phi1)))
(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)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (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 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (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 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (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 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (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 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.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 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi1 (-.f64 lambda1 lambda2))))) 2)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (sin.f64 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) phi1) (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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) 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 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (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 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (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 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 phi2 (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 phi1 (-.f64 phi2 (*.f64 1/2 (PI.f64))))))) 2)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.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 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (.f64 (PI.f64) 1/2) phi1))))) 8)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (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 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 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)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 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 (+.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1)) (.f64 (cos.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))) (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 (+.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2))) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (.f64 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (*.f64 (PI.f64) 1/2) phi1))))) 8)))
(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)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 (neg.f64 lambda2))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (+.f64 lambda2 lambda1)))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) 1/2)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 (pow.f64 lambda1 3) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/48)) (sin.f64 (.f64 -1/2 lambda2)))))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 lambda1)) (.f64 (sin.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (sin.f64 (neg.f64 lambda1)))) (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 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))) (.f64 (cos.f64 phi2) phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi2 phi1)))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 phi2 (-.f64 phi1 (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) 2)) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))) 2) (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 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))))
(atan2.f64 (.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (.f64 (PI.f64) 1/2))) (sin.f64 (-.f64 lambda1 lambda2)))) 2) (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 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (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 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))

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

Calls

6 calls:

1.2s	phi2
1.2s	lambda2
637.0ms	lambda1
331.0ms	phi1
282.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
5.4b	2	`lambda1`
5.3b	3	`lambda2`
6.4b	1	`phi1`
2.9b	3	`phi2`
6.4b	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)))))`
6.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4655 to 1113 computations (76.1% saved)

bsearch954.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
168.0ms	3.6979797329645724e-42	5.0578899061772494e-42
783.0ms	-611.3100484860427	-1.132479986040929e-7

Results

691.0ms	115×	body	1024	valid
91.0ms	34×	body	512	valid
56.0ms	51×	body	256	valid
55.0ms	8×	body	2048	valid

Compiler

Compiled 1062 to 673 computations (36.6% saved)

regimes1.9s (1.3%)

Counts

138 → 1

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (cos.f64 lambda1) phi1)))
(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)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (neg.f64 lambda2)) 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)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 phi2 (.f64 -1/6 (pow.f64 phi2 3)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (-.f64 (.f64 -1/2 (pow.f64 phi1 2)) -1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 phi2 2)) -1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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 (.f64 (cos.f64 phi1) (sin.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 (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 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 (neg.f64 lambda2)))))
(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 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 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 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.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) phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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)) (.f64 phi1 (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)) phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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)) phi1)))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 phi2 lambda1)) (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) lambda1)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 lambda1 1/2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(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 lambda1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 lambda1)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(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 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (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 (neg.f64 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 (neg.f64 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 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 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 phi2) (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 (.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 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 lambda2 (neg.f64 (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(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) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (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) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (-.f64 (*.f64 -1/2 (pow.f64 phi2 2)) -1))))
(atan2.f64 (.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 1) (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 (/.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) 4) (/.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) 3)) 4)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi1 (-.f64 lambda1 lambda2)))) 2)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.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 (.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (-.f64 lambda1 (+.f64 phi2 lambda2)))) (.f64 (sin.f64 phi1) 2)) 4)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))) (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 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1)) (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 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) phi1)))
(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)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (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 lambda1) (.f64 lambda2 (cos.f64 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (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 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (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 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.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 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (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 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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 (+.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) phi2)) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2)))) 2) (-.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 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (/.f64 (PI.f64) -2) (+.f64 phi1 (-.f64 lambda1 lambda2))))) 2)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (sin.f64 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) phi1) (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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) 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 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 phi2) 2)) (+.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi1 (*.f64 1/2 (PI.f64))))))))
(atan2.f64 (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 2) (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 (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1))) (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 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 phi2 (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 phi1 (-.f64 phi2 (*.f64 1/2 (PI.f64))))))) 2)))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi2 (.f64 1/2 (PI.f64)))))) 2) (-.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 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (.f64 (PI.f64) 1/2) phi1))))) 8)))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (sin.f64 phi1))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (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 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 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)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 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 (+.f64 (.f64 (sin.f64 lambda1) (-.f64 (.f64 -1/2 (pow.f64 lambda2 2)) -1)) (.f64 (cos.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))) (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 (+.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2))) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (.f64 (cos.f64 phi2) 4) (+.f64 (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 (.f64 (PI.f64) 1/2) phi1))) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (-.f64 (*.f64 (PI.f64) 1/2) phi1))))) 8)))
(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)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 lambda1 (cos.f64 (neg.f64 lambda2))))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (+.f64 lambda2 lambda1)))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) phi2))) (sin.f64 (+.f64 phi2 phi1))) 2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))
(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 (.f64 (PI.f64) 1/2) phi1))) (sin.f64 (+.f64 phi2 phi1))) 2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
(atan2.f64 (.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) 1/2)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 (pow.f64 lambda1 3) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/48)) (sin.f64 (.f64 -1/2 lambda2)))))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))

Outputs

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

Calls

6 calls:

313.0ms	lambda1
293.0ms	lambda2
272.0ms	phi2
265.0ms	phi1
255.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
6.4b	1	`lambda1`
6.4b	1	`lambda2`
6.4b	1	`phi1`
6.4b	1	`phi2`
6.4b	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)))))`
6.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4050 to 971 computations (76% saved)

regimes4.7s (3.3%)

Counts

118 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

1.1s	lambda2
835.0ms	(-.f64 lambda1 lambda2)
780.0ms	phi1
687.0ms	lambda1
685.0ms	phi2

Results

Error	Segments	Branch
6.4b	3	`lambda1`
6.4b	3	`lambda2`
7.3b	3	`phi1`
8.8b	3	`phi2`
10.6b	2	`(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)))))`
9.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3249 to 762 computations (76.5% saved)

bsearch903.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
511.0ms	6.566781887074881e-17	1.9718940313298543e-14
378.0ms	-0.03382866570178645	-0.00011455703512235157

Results

597.0ms	145×	body	1024	valid
163.0ms	7×	body	2048	valid
96.0ms	53×	body	512	valid
25.0ms	51×	body	256	valid

Compiler

Compiled 1187 to 759 computations (36.1% saved)

regimes5.2s (3.7%)

Counts

116 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

1.1s	phi1
1.0s	(-.f64 lambda1 lambda2)
784.0ms	(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)))))
707.0ms	lambda2
593.0ms	phi2

Results

Error	Segments	Branch
6.4b	3	`lambda1`
9.6b	3	`lambda2`
7.3b	3	`phi1`
9.2b	3	`phi2`
10.6b	2	`(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)))))`
11.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3187 to 758 computations (76.2% saved)

bsearch829.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
320.0ms	6.212698730168955e-12	9.063859336199025e-8
487.0ms	-0.8633462443874012	-1.485174574741817e-5

Results

529.0ms	145×	body	1024	valid
131.0ms	14×	body	2048	valid
85.0ms	50×	body	512	valid
55.0ms	47×	body	256	valid

Compiler

Compiled 1123 to 711 computations (36.7% saved)

regimes5.2s (3.7%)

Counts

114 → 3

Calls

Call 1

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

Calls

6 calls:

1.6s	phi2
954.0ms	phi1
661.0ms	lambda2
609.0ms	(-.f64 lambda1 lambda2)
589.0ms	lambda1

Results

Error	Segments	Branch
9.6b	2	`lambda1`
10.7b	2	`lambda2`
7.3b	3	`phi1`
9.3b	3	`phi2`
10.6b	2	`(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)))))`
11.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3126 to 749 computations (76% saved)

bsearch799.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
338.0ms	5.352124781492007e-5	0.052002617292191425
459.0ms	-51178830553.28507	-297570.0336914871

Results

529.0ms	154×	body	1024	valid
90.0ms	52×	body	512	valid
87.0ms	58×	body	256	valid
83.0ms	8×	body	2048	valid

Compiler

Compiled 1089 to 686 computations (37% saved)

regimes2.3s (1.6%)

Counts

98 → 3

Calls

Call 1

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

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

Calls

6 calls:

526.0ms	phi1
490.0ms	lambda2
385.0ms	(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)))))
285.0ms	lambda1
199.0ms	phi2

Results

Error	Segments	Branch
10.5b	2	`lambda1`
10.5b	3	`lambda2`
7.4b	3	`phi1`
12.2b	1	`phi2`
10.6b	3	`(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)))))`
12.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2572 to 609 computations (76.3% saved)

bsearch1.5s (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
632.0ms	5.352124781492007e-5	0.052002617292191425
840.0ms	-2335.739812444272	-1.327325984110916e-8

Results

1.0s	168×	body	1024	valid
225.0ms	58×	body	512	valid
114.0ms	53×	body	256	valid
99.0ms	9×	body	2048	valid

Compiler

Compiled 1169 to 761 computations (34.9% saved)

regimes1.5s (1%)

Counts

85 → 1

Calls

Call 1

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

Calls

6 calls:

360.0ms	phi1
239.0ms	(-.f64 lambda1 lambda2)
218.0ms	lambda1
173.0ms	(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)))))
164.0ms	lambda2

Results

Error	Segments	Branch
12.2b	1	`lambda1`
12.2b	1	`lambda2`
12.2b	1	`phi1`
12.2b	1	`phi2`
12.2b	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)))))`
12.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2136 to 480 computations (77.5% saved)

regimes2.7s (1.9%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

972.0ms	phi1
627.0ms	lambda2
456.0ms	lambda1
325.0ms	phi2
276.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
12.2b	3	`lambda1`
10.7b	3	`lambda2`
17.2b	3	`phi1`
15.0b	3	`phi2`
17.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1137 to 244 computations (78.5% saved)

bsearch861.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
443.0ms	6.566781887074881e-17	1.9718940313298543e-14
417.0ms	-38121765.99706899	-24.234237262054005

Results

473.0ms	151×	body	1024	valid
144.0ms	16×	body	2048	valid
116.0ms	51×	body	512	valid
91.0ms	54×	body	256	valid

Compiler

Compiled 961 to 643 computations (33.1% saved)

regimes2.2s (1.5%)

Counts

47 → 3

Calls

Call 1

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

Calls

5 calls:

928.0ms	phi2
444.0ms	lambda2
360.0ms	lambda1
276.0ms	(-.f64 lambda1 lambda2)
83.0ms	phi1

Results

Error	Segments	Branch
14.8b	5	`lambda1`
10.8b	3	`lambda2`
19.1b	1	`phi1`
15.4b	3	`phi2`
17.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1045 to 238 computations (77.2% saved)

bsearch1.1s (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
653.0ms	6.566781887074881e-17	1.9718940313298543e-14
416.0ms	-38121765.99706899	-24.234237262054005

Results

732.0ms	146×	body	1024	valid
138.0ms	18×	body	2048	valid
119.0ms	48×	body	512	valid
44.0ms	60×	body	256	valid

Compiler

Compiled 953 to 635 computations (33.4% saved)

regimes1.8s (1.3%)

Counts

44 → 5

Calls

Call 1

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

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

Calls

5 calls:

491.0ms	lambda2
425.0ms	lambda1
352.0ms	phi2
261.0ms	phi1
235.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
16.4b	4	`lambda1`
13.8b	5	`lambda2`
20.2b	3	`phi1`
18.5b	3	`phi2`
18.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 977 to 226 computations (76.9% saved)

bsearch1.2s (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
392.0ms	6.566781887074881e-17	1.9718940313298543e-14
267.0ms	1.3823395360663163e-136	1.0906974038951484e-135
269.0ms	-1.3178264407619514e-188	-2.055199481682055e-189
268.0ms	-6.632494532994231e-19	-8.602486356710874e-20

Results

831.0ms	227×	body	1024	valid
202.0ms	101×	body	512	valid
101.0ms	14×	body	2048	valid
35.0ms	74×	body	256	valid

Compiler

Compiled 1337 to 895 computations (33.1% saved)

regimes1.4s (1%)

Counts

43 → 4

Calls

Call 1

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

Calls

5 calls:

489.0ms	lambda2
261.0ms	lambda1
244.0ms	phi2
227.0ms	(-.f64 lambda1 lambda2)
81.0ms	phi1

Results

Error	Segments	Branch
18.8b	3	`lambda1`
17.9b	4	`lambda2`
21.4b	1	`phi1`
18.5b	3	`phi2`
18.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 955 to 225 computations (76.4% saved)

bsearch1.3s (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
466.0ms	6.566781887074881e-17	1.9718940313298543e-14
524.0ms	1.3823395360663163e-136	1.0906974038951484e-135
350.0ms	-1.3178264407619514e-188	-2.055199481682055e-189

Results

1.1s	197×	body	1024	valid
109.0ms	12×	body	2048	valid
108.0ms	62×	body	512	valid
54.0ms	49×	body	256	valid

Compiler

Compiled 1027 to 697 computations (32.1% saved)

regimes851.0ms (0.6%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

5 calls:

230.0ms	lambda2
225.0ms	phi2
205.0ms	(-.f64 lambda1 lambda2)
77.0ms	lambda1
62.0ms	phi1

Results

Error	Segments	Branch
21.4b	1	`lambda1`
20.1b	3	`lambda2`
21.4b	1	`phi1`
18.5b	3	`phi2`
18.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 850 to 213 computations (74.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	38121765.99706899	168784042.73793846
0.0ms	-2.1773682058728596e+52	-3.576188604968799e+47

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes1.4s (1%)

Counts

24 → 7

Calls

Call 1

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

Calls

5 calls:

386.0ms	(-.f64 lambda1 lambda2)
359.0ms	phi2
322.0ms	phi1
153.0ms	lambda2
149.0ms	lambda1

Results

Error	Segments	Branch
21.3b	3	`lambda1`
19.7b	3	`lambda2`
23.5b	3	`phi1`
19.5b	7	`phi2`
21.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 492 to 119 computations (75.8% saved)

bsearch2.6s (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
290.0ms	1.3009044907712861e+25	1.5679044987789865e+26
599.0ms	2.429180891258586e-93	2.8074498430003482e-92
726.0ms	1.0165396176672811e-137	8.90308952777005e-133
319.0ms	1.1383064217172686e-199	1.5986914993496867e-196
375.0ms	-2.6341081065207145e-291	-2.6374106921518353e-294
247.0ms	-1.132479986040929e-7	-2.4197601537888723e-8

Results

2.0s	390×	body	1024	valid
200.0ms	118×	body	512	valid
196.0ms	171×	body	256	valid
65.0ms	9×	body	2048	valid

Compiler

Compiled 2142 to 1483 computations (30.8% saved)

regimes998.0ms (0.7%)

Counts

21 → 7

Calls

Call 1

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

Calls

5 calls:

310.0ms	phi2
197.0ms	(-.f64 lambda1 lambda2)
189.0ms	lambda1
155.0ms	phi1
134.0ms	lambda2

Results

Error	Segments	Branch
21.3b	3	`lambda1`
19.7b	3	`lambda2`
23.8b	3	`phi1`
19.5b	7	`phi2`
21.4b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 430 to 110 computations (74.4% saved)

bsearch2.4s (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
277.0ms	1.3009044907712861e+25	1.5679044987789865e+26
422.0ms	2.429180891258586e-93	2.8074498430003482e-92
436.0ms	1.0165396176672811e-137	8.90308952777005e-133
527.0ms	1.1383064217172686e-199	1.5986914993496867e-196
365.0ms	-2.6341081065207145e-291	-2.6374106921518353e-294
377.0ms	-1.132479986040929e-7	-2.4197601537888723e-8

Results

1.8s	389×	body	1024	valid
258.0ms	119×	body	512	valid
190.0ms	162×	body	256	valid
125.0ms	18×	body	2048	valid

Compiler

Compiled 2142 to 1471 computations (31.3% saved)

regimes975.0ms (0.7%)

Counts

20 → 3

Calls

Call 1

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

Calls

5 calls:

308.0ms	phi2
245.0ms	lambda2
173.0ms	(-.f64 lambda1 lambda2)
152.0ms	lambda1
61.0ms	phi1

Results

Error	Segments	Branch
22.0b	3	`lambda1`
19.7b	3	`lambda2`
25.0b	1	`phi1`
21.2b	4	`phi2`
22.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 410 to 107 computations (73.9% saved)

bsearch1.3s (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
497.0ms	6.566781887074881e-17	1.9718940313298543e-14
806.0ms	-38121765.99706899	-24.234237262054005

Results

987.0ms	148×	body	1024	valid
161.0ms	56×	body	512	valid
87.0ms	12×	body	2048	valid
44.0ms	56×	body	256	valid

Compiler

Compiled 868 to 601 computations (30.8% saved)

regimes877.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

5 calls:

346.0ms	phi2
288.0ms	lambda1
124.0ms	(-.f64 lambda1 lambda2)
47.0ms	lambda2
45.0ms	phi1

Results

Error	Segments	Branch
22.0b	3	`lambda1`
25.0b	1	`lambda2`
25.0b	1	`phi1`
22.2b	3	`phi2`
22.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 390 to 106 computations (72.8% saved)

bsearch787.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
388.0ms	4.653812769363158e-37	3.2220234202333677e-28
398.0ms	-2.810216789391685e+47	-6.811213754823197e+39

Results

501.0ms	157×	body	1024	valid
171.0ms	61×	body	512	valid
57.0ms	65×	body	256	valid
49.0ms	5×	body	2048	valid

Compiler

Compiled 899 to 617 computations (31.4% saved)

regimes313.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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 lambda1)))))

Calls

5 calls:

126.0ms	(-.f64 lambda1 lambda2)
53.0ms	phi1
46.0ms	phi2
41.0ms	lambda2
19.0ms	lambda1

Results

Error	Segments	Branch
25.0b	1	`lambda1`
25.0b	1	`lambda2`
25.0b	1	`phi1`
25.0b	1	`phi2`
25.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 371 to 103 computations (72.2% saved)

regimes850.0ms (0.6%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

5 calls:

381.0ms	phi2
203.0ms	lambda2
123.0ms	lambda1
96.0ms	phi1
27.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
30.2b	3	`lambda1`
28.7b	5	`lambda2`
29.5b	3	`phi1`
31.6b	3	`phi2`
34.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 333 to 97 computations (70.9% saved)

bsearch1.5s (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
436.0ms	6.566781887074881e-17	1.9718940313298543e-14
372.0ms	3.9104653071935014e-38	9.695509651816823e-36
370.0ms	1.3823395360663163e-136	1.0906974038951484e-135
253.0ms	-1.3178264407619514e-188	-2.055199481682055e-189

Results

988.0ms	254×	body	1024	valid
253.0ms	90×	body	512	valid
145.0ms	18×	body	2048	valid
33.0ms	70×	body	256	valid

Compiler

Compiled 1318 to 928 computations (29.6% saved)

regimes227.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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)) phi1)))

Calls

5 calls:

62.0ms	lambda1
54.0ms	phi1
39.0ms	(-.f64 lambda1 lambda2)
32.0ms	lambda2
16.0ms	phi2

Results

Error	Segments	Branch
34.3b	1	`lambda1`
34.3b	1	`lambda2`
34.3b	1	`phi1`
34.3b	1	`phi2`
34.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 314 to 93 computations (70.4% saved)

regimes128.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	lambda2
23.0ms	lambda1
23.0ms	phi2
17.0ms	phi1

Results

Error	Segments	Branch
34.3b	1	`lambda1`
34.3b	1	`lambda2`
34.3b	1	`phi1`
34.3b	1	`phi2`

Compiler

Compiled 195 to 55 computations (71.8% saved)

regimes177.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

87.0ms	lambda2
38.0ms	phi2
33.0ms	phi1
14.0ms	lambda1

Results

Error	Segments	Branch
45.5b	1	`lambda1`
43.4b	3	`lambda2`
45.5b	1	`phi1`
45.5b	1	`phi2`

Compiler

Compiled 139 to 48 computations (65.5% saved)

bsearch1.1s (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
491.0ms	140706318015771.36	5.282340568168547e+21
628.0ms	-1.868425289559372e+30	-25419928801527706000.0

Results

757.0ms	185×	body	1024	valid
213.0ms	54×	body	512	valid
82.0ms	61×	body	256	valid
30.0ms	4×	body	2048	valid

Compiler

Compiled 871 to 612 computations (29.7% saved)

regimes155.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

66.0ms	lambda2
28.0ms	phi2
24.0ms	lambda1
20.0ms	phi1

Results

Error	Segments	Branch
45.5b	1	`lambda1`
43.4b	3	`lambda2`
45.5b	1	`phi1`
45.5b	1	`phi2`

Compiler

Compiled 104 to 42 computations (59.6% saved)

bsearch950.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
469.0ms	140706318015771.36	5.282340568168547e+21
481.0ms	-1.868425289559372e+30	-25419928801527706000.0

Results

727.0ms	181×	body	1024	valid
85.0ms	58×	body	512	valid
49.0ms	61×	body	256	valid
30.0ms	4×	body	2048	valid

Compiler

Compiled 833 to 574 computations (31.1% saved)

regimes46.0ms (0%)

Accuracy

Total -6.8b remaining (-15%)

Threshold costs -6.8b (-15%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

18.0ms	lambda2
9.0ms	phi2
6.0ms	phi1
6.0ms	lambda1

Results

Error	Segments	Branch
45.5b	1	`lambda1`
45.5b	1	`lambda2`
45.5b	1	`phi1`
45.5b	1	`phi2`

Compiler

Compiled 54 to 33 computations (38.9% saved)

simplify186.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	5674

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))))))
(if (<=.f64 phi2 -6327971087045325/9444732965739290427392) (atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) (if (<=.f64 phi2 7846377169233351/1569275433846670190958947355801916604025588861116008628224) (atan2.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (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 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(if (<=.f64 lambda2 -4980620899901579/18446744073709551616) (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1))))) (if (<=.f64 lambda2 3089898338056309/158456325028528675187087900672) (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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))) (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))))
(if (<=.f64 lambda1 -7378697629483821/295147905179352825856) (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1)))) (if (<=.f64 lambda1 6800207735332289/75557863725914323419136) (atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 lambda1))))))
(if (<=.f64 phi1 -300000) (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 phi1 3984496719921263/73786976294838206464) (atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (.f64 (sin.f64 phi1) (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 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi1 -519460313115661/1180591620717411303424) (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 phi1 3984496719921263/73786976294838206464) (atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (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 lambda2 -49/2) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) (if (<=.f64 lambda2 3089898338056309/158456325028528675187087900672) (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 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -25) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) (if (<=.f64 lambda2 3089898338056309/158456325028528675187087900672) (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 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))))
(if (<=.f64 lambda2 -1298074214633707/2596148429267413814265248164610048) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) (if (<=.f64 lambda2 -3135285318820699/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544) (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))))) (if (<=.f64 lambda2 2880583734948605/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (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 lambda1))))) (if (<=.f64 lambda2 693246421999813/39614081257132168796771975168) (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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))))))
(if (<=.f64 lambda2 -1646024792380867/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (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 lambda2 2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (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 lambda1))))) (if (<=.f64 lambda2 3089898338056309/158456325028528675187087900672) (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 (neg.f64 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) -19999999999999999864418973487232559529234168838881280) (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) 50000000) (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 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(if (<=.f64 phi2 -2115620184325601/18889465931478580854784) (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 -3511119404027961/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (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 lambda1)))) (if (<=.f64 phi2 7002292912141195/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) (if (<=.f64 phi2 7672009237256583/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (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))))) (if (<=.f64 phi2 5871356456934583/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (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)))) (if (<=.f64 phi2 45999999999999996007022592) (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 (neg.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))))))))))
(if (<=.f64 phi2 -1983393922805251/18889465931478580854784) (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 -662899343480479/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (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 lambda1)))) (if (<=.f64 phi2 5680946773672243/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2))))) (if (<=.f64 phi2 671300808259951/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (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))))) (if (<=.f64 phi2 5871356456934583/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (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)))) (if (<=.f64 phi2 13500000000000000041943040) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.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))))))))))
(if (<=.f64 lambda2 -860) (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)))) (if (<=.f64 lambda2 3089898338056309/158456325028528675187087900672) (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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(if (<=.f64 lambda1 -7000000000000000333542801860365484294144) (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 lambda1)))) (if (<=.f64 lambda1 7136238463529799/22300745198530623141535718272648361505980416) (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 (cos.f64 phi1) (sin.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 lambda1)))))
(if (<=.f64 lambda2 -4075870914466909/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) phi1))) (if (<=.f64 lambda2 6939588088739821/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (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)))) (if (<=.f64 lambda2 8045601589545917/191561942608236107294793378393788647952342390272950272) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) phi1))) (if (<=.f64 lambda2 3010670175542045/316912650057057350374175801344) (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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (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 (cos.f64 lambda1) phi1)))
(if (<=.f64 lambda2 -1450000000000000060498640896) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (if (<=.f64 lambda2 9500000000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) phi1))) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))))
(if (<=.f64 lambda2 -1080000000000000003355443200) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (if (<=.f64 lambda2 135000000000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (sin.f64 lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))

Outputs
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))))))
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(if (<=.f64 lambda2 -4075870914466909/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) phi1))) (if (<=.f64 lambda2 6939588088739821/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (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)))) (if (<=.f64 lambda2 8045601589545917/191561942608236107294793378393788647952342390272950272) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) phi1))) (if (<=.f64 lambda2 3010670175542045/316912650057057350374175801344) (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 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.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 (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 (cos.f64 lambda1) phi1)))
(if (<=.f64 lambda2 -1450000000000000060498640896) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (if (<=.f64 lambda2 9500000000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) phi1))) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))))
(if (<=.f64 lambda2 -1080000000000000003355443200) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (if (<=.f64 lambda2 135000000000000000000) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
(atan2.f64 (sin.f64 lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))

Compiler

Compiled 1912 to 774 computations (59.5% saved)

soundness303.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational_best-simplify-48`
1240×	`rational_best-simplify-52`
1190×	`rational_best-simplify-1`
1082×	`rational_best-simplify-51`
978×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	4898
1	612	4862
2	1482	4784
3	3854	4762

Stop Event

1×	node limit

Compiler

Compiled 295 to 44 computations (85.1% saved)

end1.8s (1.2%)

Compiler: Compiled 1812 to 261 computations (85.6% saved)