Details

analyze1.4s (4.2%)

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)

sample12.8s (38.9%)

Results

10.0s	5532×	body	1024	valid
1.6s	1332×	body	512	valid
657.0ms	1192×	body	256	valid
471.0ms	200×	body	2048	valid

Bogosity

preprocess77.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1316×	`rational_best-simplify-46`
1114×	`trig-simplify-11`
1014×	`rational_best-simplify-45`
870×	`rational_best-simplify-1`
792×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	539
1	121	539
2	361	539
3	696	539
4	1190	539
5	2551	539
6	6070	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 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (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 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 phi1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda1)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda1)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (cos.f64 (-.f64 phi1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)))))
(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 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(atan2.f64 (.f64 (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 (-.f64 lambda1 phi2)) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best-simplify-46`
1198×	`rational_best-simplify-45`
950×	`rational_best-simplify-1`
936×	`rational_best-simplify-51`
830×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	34	77
2	78	77
3	145	77
4	248	77
5	515	77
6	1165	77
7	2749	77
8	6744	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 (cos.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 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

eval1.0ms (0%)

Compiler: Compiled 124 to 33 computations (73.4% saved)

prune2.0ms (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

13.4b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.4b	(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)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	13.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Status

Error

Program

▶

13.4b

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

▶

13.4b

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

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize37.0ms (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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
✓	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
✓	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 96 to 17 computations (82.3% saved)

series18.0ms (0.1%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.0ms	lambda1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`rational_best-5`
1358×	`rational_best-4`
1358×	`rational_best-2`
1358×	`rational_best-3`
1358×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	141	74
2	587	74
3	2709	74

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

simplify190.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational_best-simplify-129`
1134×	`rational_best-simplify-44`
1090×	`rational_best-simplify-1`
794×	`rational_best-simplify-49`
572×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	6303
1	819	5895
2	2590	5487
3	5014	5371

Stop Event

1×	node limit

Counts

179 → 232

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

localize34.0ms (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))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 94 to 17 computations (81.9% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`rational_best-5`
998×	`rational_best-4`
998×	`rational_best-2`
998×	`rational_best-3`
998×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	114	31
2	443	31
3	2032	31

Stop Event

1×	node limit

Counts

1 → 7

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

Outputs

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

simplify197.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

972×	`rational_best-simplify-46`
888×	`rational_best-simplify-1`
882×	`rational_best-simplify-132`
840×	`rational_best-simplify-47`
802×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2743
1	326	2559
2	812	2343
3	1798	2207
4	3946	2207
5	7178	2207

Stop Event

1×	node limit

Counts

55 → 90

Calls

Call 1

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

eval167.0ms (0.5%)

Compiler: Compiled 18031 to 4505 computations (75% saved)

prune150.0ms (0.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	457	24	481
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	459	24	483

Error

9.6b

Counts

483 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	48.6b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) 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)))))
	35.0b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 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)))))
	29.5b	(atan2.f64 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 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)))))
▶	28.5b	(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)))))
▶	28.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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)))))
	21.1b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	15.3b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	13.4b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (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)))))
	35.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	30.7b	(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)) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 -1/2 (pow.f64 lambda1 2))))))))
	23.9b	(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 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
▶	13.4b	(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 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	19.8b	(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)))))
	23.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	32.7b	(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 (.f64 (sin.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 phi1)))))
	33.3b	(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)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))))
	32.5b	(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)))))
▶	22.4b	(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))))
	32.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 phi1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
	32.2b	(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)))))
	32.2b	(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 (-.f64 lambda1 lambda2)))))
	46.2b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.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)))))

Compiler

Compiled 1684 to 1038 computations (38.4% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
✓	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 164 to 42 computations (74.4% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	phi1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	lambda1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	lambda2	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	phi2	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	lambda1	@	-inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational_best-5`
1188×	`rational_best-4`
1188×	`rational_best-2`
1188×	`rational_best-3`
1188×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	102
1	149	64
2	555	64
3	2468	64

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

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

(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))

Outputs

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

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

simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational_best-simplify-47`
820×	`rational_best-simplify-44`
770×	`rational_best-simplify-2`
588×	`rational_best-simplify-132`
496×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	3989
1	440	3805
2	1094	3573
3	2694	3399
4	5413	3399

Stop Event

1×	node limit

Counts

103 → 118

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)))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(/.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) 2))) 2)
(pow.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (/.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(-.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 0 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 0 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (*.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) 2) (+.f64 (/.f64 0 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) 2)
(pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(neg.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))))

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

localize29.0ms (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))
	2.6b	(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
2.0ms	lambda1	@	0	(*.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	lambda2	@	-inf	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
0.0ms	phi1	@	inf	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))

rewrite110.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`rational_best-5`
760×	`rational_best-4`
760×	`rational_best-2`
760×	`rational_best-3`
760×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	89	21
2	353	21
3	1583	21
4	6963	21

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best-simplify-46`
1058×	`rational_best-simplify-47`
946×	`rational_best-simplify-45`
784×	`rational_best-simplify-80`
716×	`rational_best-simplify-78`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	113	1413
1	257	1251
2	551	1155
3	1101	1139
4	2550	1139
5	5428	987

Stop Event

1×	node limit

Counts

31 → 63

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

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

localize33.0ms (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 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))
	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)

series6.0ms (0%)

Counts

2 → 52

Calls

15 calls:

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

rewrite118.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`rational_best-5`
918×	`rational_best-4`
918×	`rational_best-2`
918×	`rational_best-3`
918×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	110	44
2	426	44
3	1888	44
4	7720	44

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify174.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1038×	`rational_best-simplify-132`
918×	`rational_best-simplify-2`
902×	`rational_best-simplify-80`
870×	`rational_best-simplify-47`
834×	`rational_best-simplify-78`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	2610
1	345	2550
2	709	2302
3	1527	2174
4	3948	2174
5	7296	2174

Stop Event

1×	node limit

Counts

72 → 109

Calls

Call 1

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

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

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
✓	0.2b	(.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2))
	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 122 to 21 computations (82.8% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite116.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational_best-5`
876×	`rational_best-4`
876×	`rational_best-2`
876×	`rational_best-3`
876×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	119	39
2	439	39
3	1849	39
4	7525	39

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify178.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational_best-simplify-132`
976×	`rational_best-simplify-2`
942×	`rational_best-simplify-47`
892×	`rational_best-simplify-1`
612×	`rational_best-simplify-80`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	78	2029
1	166	2023
2	301	1949
3	604	1861
4	1661	1861
5	3968	1853
6	7123	1853

Stop Event

1×	node limit

Counts

45 → 57

Calls

Call 1

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

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

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.9b	(.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1)))

Compiler

Compiled 176 to 59 computations (66.5% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	lambda2	@	0	(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
1.0ms	lambda2	@	0	(.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1)))
1.0ms	lambda1	@	0	(.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1)))
1.0ms	lambda1	@	inf	(.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1)))
0.0ms	lambda1	@	-inf	(.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1)))

rewrite113.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`rational_best-5`
836×	`rational_best-4`
836×	`rational_best-2`
836×	`rational_best-3`
836×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	126	38
2	434	38
3	1789	38
4	7172	38

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify188.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1648×	`rational_best-simplify-80`
1390×	`rational_best-simplify-78`
1372×	`rational_best-simplify-47`
666×	`rational_best-simplify-82`
664×	`rational_best-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	1604
1	182	1536
2	337	1502
3	676	1502
4	2099	1496
5	4483	1496
6	6793	1496

Stop Event

1×	node limit

Counts

68 → 66

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (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 -1/2 (.f64 (pow.f64 lambda2 2) (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 -1/2 (.f64 (pow.f64 lambda2 2) (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 -1/2 (.f64 (pow.f64 lambda2 2) (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 -1/2 (.f64 (pow.f64 lambda2 2) lambda1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1)) (.f64 1/12 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 3))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1)) (.f64 1/12 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 3)))))
(+.f64 (.f64 1/10080 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 7))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1)) (.f64 1/12 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 3))))))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (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 -1/2 (.f64 (pow.f64 lambda2 2) (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 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(*.f64 -1 lambda2)
(+.f64 (.f64 -1 lambda2) (.f64 1/2 (*.f64 lambda2 (pow.f64 lambda1 2))))
(+.f64 (.f64 -1 lambda2) (+.f64 (.f64 1/2 (.f64 lambda2 (pow.f64 lambda1 2))) (.f64 -1/24 (*.f64 lambda2 (pow.f64 lambda1 4)))))
(+.f64 (.f64 -1 lambda2) (+.f64 (.f64 1/2 (.f64 lambda2 (pow.f64 lambda1 2))) (+.f64 (.f64 -1/24 (.f64 lambda2 (pow.f64 lambda1 4))) (.f64 1/720 (*.f64 lambda2 (pow.f64 lambda1 6))))))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 0)
(+.f64 0 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))
(-.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 0)
(-.f64 0 (/.f64 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) 2))
(/.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 1)
(/.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (/.f64 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(/.f64 (*.f64 (pow.f64 lambda2 2) (neg.f64 (sin.f64 lambda1))) 2)
(pow.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 1)
(neg.f64 (/.f64 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) 2))
(+.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 0)
(+.f64 0 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)))
(-.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 0)
(-.f64 0 (neg.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(/.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 1)
(/.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (/.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(/.f64 (.f64 (cos.f64 lambda1) (.f64 lambda2 -2)) 2)
(/.f64 (*.f64 lambda2 (cos.f64 lambda1)) -1)
(pow.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 1)
(neg.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))

Outputs
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1))
(.f64 (pow.f64 lambda2 2) (.f64 -1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1)) (.f64 1/12 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 3))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 1/12 (pow.f64 lambda1 3))))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/12 (pow.f64 lambda1 3)) (*.f64 -1/2 lambda1)))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/2 lambda1) (*.f64 1/12 (pow.f64 lambda1 3))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1)) (.f64 1/12 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 3)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 1/12 (pow.f64 lambda1 3))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/240 (pow.f64 lambda1 5)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 1/12 (pow.f64 lambda1 3))) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/240 (pow.f64 lambda1 5)) (*.f64 -1/2 lambda1))))
(.f64 (pow.f64 lambda2 2) (+.f64 (+.f64 (.f64 -1/2 lambda1) (.f64 -1/240 (pow.f64 lambda1 5))) (.f64 1/12 (pow.f64 lambda1 3))))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/2 lambda1) (+.f64 (.f64 -1/240 (pow.f64 lambda1 5)) (.f64 1/12 (pow.f64 lambda1 3)))))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/12 (pow.f64 lambda1 3)) (+.f64 (.f64 -1/2 lambda1) (.f64 -1/240 (pow.f64 lambda1 5)))))
(+.f64 (.f64 1/10080 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 7))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) lambda1)) (.f64 1/12 (.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 3))))))
(+.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 1/12 (pow.f64 lambda1 3)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/240 (pow.f64 lambda1 5))) (.f64 (pow.f64 lambda2 2) (.f64 1/10080 (pow.f64 lambda1 7)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/12 (pow.f64 lambda1 3)) (.f64 -1/2 lambda1))) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/10080 (pow.f64 lambda1 7)) (.f64 -1/240 (pow.f64 lambda1 5)))))
(.f64 (pow.f64 lambda2 2) (+.f64 (+.f64 (.f64 1/10080 (pow.f64 lambda1 7)) (.f64 -1/240 (pow.f64 lambda1 5))) (+.f64 (.f64 -1/2 lambda1) (*.f64 1/12 (pow.f64 lambda1 3)))))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/10080 (pow.f64 lambda1 7)) (+.f64 (.f64 -1/2 lambda1) (+.f64 (.f64 -1/240 (pow.f64 lambda1 5)) (*.f64 1/12 (pow.f64 lambda1 3))))))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/10080 (pow.f64 lambda1 7)) (+.f64 (.f64 1/12 (pow.f64 lambda1 3)) (+.f64 (.f64 -1/2 lambda1) (*.f64 -1/240 (pow.f64 lambda1 5))))))
(.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/2 lambda1) (+.f64 (.f64 -1/240 (pow.f64 lambda1 5)) (+.f64 (.f64 1/10080 (pow.f64 lambda1 7)) (*.f64 1/12 (pow.f64 lambda1 3))))))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(*.f64 -1 lambda2)
(neg.f64 lambda2)
(+.f64 (.f64 -1 lambda2) (.f64 1/2 (*.f64 lambda2 (pow.f64 lambda1 2))))
(+.f64 (neg.f64 lambda2) (.f64 lambda2 (.f64 1/2 (pow.f64 lambda1 2))))
(.f64 lambda2 (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2))))
(+.f64 (.f64 -1 lambda2) (+.f64 (.f64 1/2 (.f64 lambda2 (pow.f64 lambda1 2))) (.f64 -1/24 (*.f64 lambda2 (pow.f64 lambda1 4)))))
(+.f64 (neg.f64 lambda2) (+.f64 (.f64 lambda2 (.f64 1/2 (pow.f64 lambda1 2))) (.f64 -1/24 (.f64 lambda2 (pow.f64 lambda1 4)))))
(+.f64 (neg.f64 lambda2) (.f64 lambda2 (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (*.f64 1/2 (pow.f64 lambda1 2)))))
(.f64 lambda2 (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (+.f64 -1 (*.f64 1/2 (pow.f64 lambda1 2)))))
(.f64 lambda2 (+.f64 -1 (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (*.f64 1/2 (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1 lambda2) (+.f64 (.f64 1/2 (.f64 lambda2 (pow.f64 lambda1 2))) (+.f64 (.f64 -1/24 (.f64 lambda2 (pow.f64 lambda1 4))) (.f64 1/720 (*.f64 lambda2 (pow.f64 lambda1 6))))))
(+.f64 (neg.f64 lambda2) (+.f64 (.f64 lambda2 (.f64 1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 -1/24 (.f64 lambda2 (pow.f64 lambda1 4))) (.f64 1/720 (.f64 lambda2 (pow.f64 lambda1 6))))))
(+.f64 (.f64 lambda2 (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2)))) (.f64 lambda2 (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (*.f64 -1/24 (pow.f64 lambda1 4)))))
(.f64 lambda2 (+.f64 (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (.f64 -1/24 (pow.f64 lambda1 4))) (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2)))))
(.f64 lambda2 (+.f64 (+.f64 -1 (.f64 -1/24 (pow.f64 lambda1 4))) (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (.f64 1/2 (pow.f64 lambda1 2)))))
(.f64 lambda2 (+.f64 -1 (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/2 (pow.f64 lambda1 2))))))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(.f64 -1 (.f64 lambda2 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 0)
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(+.f64 0 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(-.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 0)
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(-.f64 0 (/.f64 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) 2))
(neg.f64 (/.f64 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) 2))
(/.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 1)
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(/.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) (/.f64 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(/.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))) (/.f64 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(.f64 (/.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) (pow.f64 lambda2 2))))
(.f64 (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))) (/.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(.f64 (pow.f64 lambda2 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (/.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))))
(.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (pow.f64 (.f64 lambda2 lambda2) 2))) (/.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(.f64 (sin.f64 lambda1) (.f64 (.f64 (sin.f64 lambda1) (pow.f64 (.f64 lambda2 lambda2) 2)) (/.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))))
(/.f64 (*.f64 (pow.f64 lambda2 2) (neg.f64 (sin.f64 lambda1))) 2)
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(pow.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))) 1)
(.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))
(neg.f64 (/.f64 (*.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)) 2))
(+.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 0)
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(+.f64 0 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(-.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 0)
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(-.f64 0 (neg.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(/.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 1)
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (/.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(/.f64 (.f64 (cos.f64 lambda1) (.f64 lambda2 -2)) 2)
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(/.f64 (*.f64 lambda2 (cos.f64 lambda1)) -1)
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(pow.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)) 1)
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(neg.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))
(neg.f64 (*.f64 lambda2 (cos.f64 lambda1)))
(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
(*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))

eval609.0ms (1.9%)

Compiler: Compiled 49680 to 13924 computations (72% saved)

prune1.1s (3.4%)

Pruning

57 alts after pruning (57 fresh and 0 done)

	Pruned	Kept	Total
New	1156	50	1206
Fresh	12	7	19
Picked	1	0	1
Done	4	0	4
Total	1173	57	1230

Error

9.2b

Counts

1230 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	48.7b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) 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)))))
	48.7b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	40.1b	(atan2.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.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)))))
	35.5b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 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)))))
	38.7b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	41.9b	(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 (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	40.3b	(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) (.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
	28.5b	(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)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	28.5b	(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)))))
	34.1b	(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 lambda1))))
	41.2b	(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 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.3b	(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 (cos.f64 phi2) phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	29.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.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)))))))
	31.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.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))))))))
	41.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
	34.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	28.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	28.3b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.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)))))
▶	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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)))))
	32.6b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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)))))
	32.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	21.1b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	27.5b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	28.2b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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))))
	21.7b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	22.4b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (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))))
	35.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	49.0b	(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) 2) phi1))) (cos.f64 (-.f64 lambda1 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 phi1))))) 2)))
	40.2b	(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 phi2 (-.f64 (/.f64 (PI.f64) 2) phi1))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) phi2))) 2) (cos.f64 (neg.f64 lambda2)))))
	29.2b	(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))))
	37.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (cos.f64 (neg.f64 lambda2)))))
	29.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1))))
	23.9b	(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 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	19.0b	(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 lambda1 lambda2)) (/.f64 1 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 (-.f64 lambda1 lambda2))))))
	19.8b	(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 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))))))
▶	18.8b	(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 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	32.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) phi1) (cos.f64 (neg.f64 lambda2)))))
	23.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
▶	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	25.4b	(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)))))
	25.2b	(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))))
	32.7b	(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 (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (sin.f64 phi1))) (sin.f64 phi1)))))
	33.4b	(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)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))
	32.5b	(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)))))
▶	32.4b	(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)) phi1)))
	25.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	32.2b	(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)))))
	36.7b	(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))))
	38.6b	(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)))))
	36.6b	(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))))
	46.2b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.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)))))
	46.6b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.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)))))
	46.8b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	41.5b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (+.f64 lambda1 (.f64 lambda1 (.f64 -1/2 (pow.f64 lambda2 2)))) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.2b	(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)))))
	46.6b	(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	47.7b	(atan2.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.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 4032 to 2554 computations (36.7% saved)

localize232.0ms (0.7%)

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)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 154 to 43 computations (72.1% saved)

series19.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`rational_best-5`
1284×	`rational_best-4`
1284×	`rational_best-2`
1284×	`rational_best-3`
1284×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	155	63
2	570	63
3	2626	63

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))

Outputs

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

simplify187.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best-simplify-2`
956×	`rational_best-simplify-47`
886×	`rational_best-simplify-80`
880×	`rational_best-simplify-46`
818×	`rational_best-simplify-78`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	181	4215
1	394	4141
2	826	4051
3	1586	3961
4	3090	3947
5	5695	3945

Stop Event

1×	node limit

Counts

55 → 80

Calls

Call 1

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

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

localize28.0ms (0.1%)

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))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 75 to 15 computations (80% saved)

series16.0ms (0%)

Counts

1 → 16

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	phi1	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
0.0ms	lambda1	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
0.0ms	phi1	@	inf	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
0.0ms	lambda2	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
0.0ms	lambda2	@	-inf	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`rational_best-simplify-57`
666×	`rational_best-simplify-43`
552×	`rational_best-5`
552×	`rational_best-2`
552×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	75	17
2	267	17
3	1166	17
4	5187	17

Stop Event

1×	node limit

Counts

1 → 10

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

simplify170.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational_best-simplify-132`
1110×	`rational_best-simplify-2`
818×	`rational_best-simplify-47`
616×	`rational_best-simplify-80`
598×	`rational_best-simplify-46`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	79	962
1	176	896
2	338	852
3	675	832
4	1712	826
5	3763	826
6	7117	646

Stop Event

1×	node limit

Counts

26 → 56

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

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

localize263.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	inf	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
1.0ms	phi2	@	inf	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
1.0ms	phi1	@	inf	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
1.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
0.0ms	phi2	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`rational_best-5`
1302×	`rational_best-4`
1302×	`rational_best-2`
1302×	`rational_best-3`
1302×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	141	70
2	581	70
3	2643	70

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify167.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1716×	`rational_best-simplify-132`
998×	`rational_best-simplify-47`
834×	`rational_best-simplify-43`
784×	`rational_best-simplify-2`
734×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	3851
1	380	3737
2	986	3529
3	2820	3527
4	4627	3527

Stop Event

1×	node limit

Counts

77 → 146

Calls

Call 1

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

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

localize71.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
✓	0.2b	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2))
	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 117 to 21 computations (82.1% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite127.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`rational_best-5`
872×	`rational_best-4`
872×	`rational_best-2`
872×	`rational_best-3`
872×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	119	50
2	438	50
3	1848	50
4	7480	50

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify171.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1572×	`rational_best-simplify-80`
1432×	`rational_best-simplify-78`
944×	`rational_best-simplify-82`
888×	`rational_best-simplify-132`
700×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	2488
1	252	2378
2	515	2308
3	1043	2288
4	3294	2288
5	5829	2288

Stop Event

1×	node limit

Counts

80 → 90

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

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

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2))
✓	1.7b	(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) (.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	2.5b	(.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 164 to 60 computations (63.4% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))
1.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))
0.0ms	phi2	@	0	(.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))
0.0ms	phi1	@	-inf	(.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))
0.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2)))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`rational_best-5`
1920×	`rational_best-4`
1920×	`rational_best-2`
1920×	`rational_best-3`
1920×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	136
1	255	132
2	907	132
3	4043	132

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs

(*.f64 (sin.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2)))

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

Outputs

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

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

simplify301.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-132`
956×	`rational_best-simplify-2`
868×	`rational_best-simplify-54`
726×	`rational_best-simplify-80`
652×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	7774
1	206	7766
2	433	7718
3	1398	7718
4	3407	7718
5	6877	7718

Stop Event

1×	node limit

Counts

92 → 54

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (pow.f64 phi2 2))) (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (pow.f64 phi2 2))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 phi1 5) (pow.f64 phi2 2))) (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (pow.f64 phi2 2))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 phi1 5) (pow.f64 phi2 2))) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))) (.f64 1/10080 (.f64 (pow.f64 phi1 7) (pow.f64 phi2 2))))))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
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(-.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) 0)
(.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (pow.f64 phi2 2)) 1))))) 1)
(.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (.f64 (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (pow.f64 phi2 2)) 1))))))
(.f64 (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(.f64 (.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) 1)
(/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(/.f64 (.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (pow.f64 phi2 2)) 1))))) 2) 2)
(pow.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) 1)

Outputs
(.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 phi1))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (pow.f64 phi2 2))) (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))) (.f64 1/12 (.f64 (pow.f64 phi2 2) (pow.f64 phi1 3))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 1/12 (pow.f64 phi1 3))))
(.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/12 (pow.f64 phi1 3)) (*.f64 -1/2 phi1)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (pow.f64 phi2 2))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 phi1 5) (pow.f64 phi2 2))) (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))) (+.f64 (.f64 (pow.f64 phi1 5) (.f64 -1/240 (pow.f64 phi2 2))) (.f64 1/12 (.f64 (pow.f64 phi2 2) (pow.f64 phi1 3)))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 1/12 (pow.f64 phi1 3))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 -1/240 (pow.f64 phi1 5)))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 phi1)) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/240 (pow.f64 phi1 5)) (*.f64 1/12 (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/240 (pow.f64 phi1 5)) (*.f64 1/12 (pow.f64 phi1 3)))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 1/12 (pow.f64 phi1 3))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/240 (pow.f64 phi1 5)) (*.f64 -1/2 phi1))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi1 3) (pow.f64 phi2 2))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 phi1 5) (pow.f64 phi2 2))) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))) (.f64 1/10080 (.f64 (pow.f64 phi1 7) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 phi2 2) (pow.f64 phi1 3))) (+.f64 (.f64 (pow.f64 phi1 5) (.f64 -1/240 (pow.f64 phi2 2))) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 phi2 2))) (.f64 1/10080 (.f64 (pow.f64 phi2 2) (pow.f64 phi1 7))))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 1/12 (pow.f64 phi1 3))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 phi1)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/240 (pow.f64 phi1 5))) (.f64 (pow.f64 phi2 2) (.f64 1/10080 (pow.f64 phi1 7))))))
(+.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/240 (pow.f64 phi1 5)) (.f64 -1/2 phi1))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/12 (pow.f64 phi1 3)) (.f64 1/10080 (pow.f64 phi1 7)))))
(+.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/10080 (pow.f64 phi1 7)) (.f64 -1/2 phi1))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/240 (pow.f64 phi1 5)) (.f64 1/12 (pow.f64 phi1 3)))))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))
(.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))
(.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) lambda1) (sin.f64 (.f64 -1 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) lambda1) (sin.f64 (.f64 -1 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) lambda1) (sin.f64 (.f64 -1 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) lambda1) (sin.f64 (.f64 -1 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (sin.f64 phi1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))))
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(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (pow.f64 phi2 2)) 1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (/.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (pow.f64 phi2 2)) 1))))) 2) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(pow.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (cos.f64 (neg.f64 lambda2))) (sin.f64 (neg.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

eval497.0ms (1.5%)

Compiler: Compiled 46302 to 13364 computations (71.1% saved)

prune581.0ms (1.8%)

Pruning

73 alts after pruning (73 fresh and 0 done)

	Pruned	Kept	Total
New	1108	42	1150
Fresh	21	31	52
Picked	1	0	1
Done	4	0	4
Total	1134	73	1207

Error

9.1b

Counts

1207 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	48.9b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	48.7b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) 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)))))
▶	49.0b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	48.7b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	50.4b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	40.1b	(atan2.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.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)))))
	39.2b	(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	35.5b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 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)))))
	40.7b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	44.0b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	28.5b	(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)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	28.5b	(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)))))
	40.3b	(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 (cos.f64 phi2) phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	29.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.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)))))))
	31.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.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))))))))
	41.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))))
	40.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	32.6b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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)))))
	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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))))
	40.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))) (sin.f64 phi1)))))
▶	38.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	25.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	27.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (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)))))
	26.8b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	28.2b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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))))
	37.1b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	21.7b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	32.4b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	35.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	43.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	25.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	49.0b	(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) 2) phi1))) (cos.f64 (-.f64 lambda1 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 phi1))))) 2)))
	24.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (sin.f64 phi1)) (cos.f64 lambda1))))
	40.2b	(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 phi2 (-.f64 (/.f64 (PI.f64) 2) phi1))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) phi2))) 2) (cos.f64 (neg.f64 lambda2)))))
	29.2b	(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))))
	37.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (cos.f64 (neg.f64 lambda2)))))
	29.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1))))
	23.9b	(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 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
▶	18.8b	(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 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	19.8b	(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 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))))))
	25.3b	(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 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (neg.f64 lambda2))))))
	25.3b	(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) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))))
	25.4b	(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)))))
	25.2b	(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))))
	32.7b	(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 (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (sin.f64 phi1))) (sin.f64 phi1)))))
	32.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
	32.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 phi1 (cos.f64 lambda2))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (sin.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2))))))
	37.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))) (*.f64 phi2 (cos.f64 phi1))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1))) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2)))))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 phi1 (*.f64 (cos.f64 phi2) (neg.f64 (cos.f64 lambda1))))))
	25.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
	36.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))
▶	32.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	32.2b	(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)))))
	37.8b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.7b	(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))))
	42.6b	(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)))
	32.4b	(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)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	38.6b	(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)))))
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.6b	(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))))
	42.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
▶	46.5b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	46.8b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	49.3b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	45.7b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
	44.8b	(atan2.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	46.8b	(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)))))
	46.6b	(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.6b	(.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (.f64 (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))

Compiler

Compiled 5334 to 3222 computations (39.6% saved)

localize93.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
✓	0.4b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 400 to 74 computations (81.5% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	lambda1	@	0	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	lambda1	@	0	(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda2	@	0	(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	lambda2	@	-inf	(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	lambda1	@	-inf	(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite147.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`rational_best-5`
816×	`rational_best-2`
816×	`rational_best-1`
814×	`rational_best-4`
814×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	86
1	89	86
2	386	86
3	1590	86
4	6818	86

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs

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

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

Outputs

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lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (fabs.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))))))))

simplify293.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational_best-simplify-94`
1630×	`rational_best-simplify-54`
968×	`rational_best-simplify-47`
730×	`rational_best-simplify-1`
624×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	7708
1	806	7592
2	1351	7530
3	4965	7482
4	7635	7482

Stop Event

1×	node limit

Counts

146 → 189

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 phi2)
✓	0.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series1.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational_best-5`
928×	`rational_best-4`
928×	`rational_best-2`
928×	`rational_best-3`
928×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	107	36
2	425	36
3	1922	36

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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phi2)) (sin.f64 phi2)) (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)))))

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

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best-simplify-80`
1308×	`rational_best-simplify-78`
1256×	`rational_best-simplify-94`
1032×	`rational_best-simplify-54`
912×	`rational_best-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	2067
1	276	2051
2	1177	2051
3	4737	2051

Stop Event

1×	node limit

Counts

91 → 69

Calls

Call 1

Inputs
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 phi2))
phi2
(+.f64 (*.f64 -1/6 (pow.f64 phi2 3)) phi2)
(+.f64 (.f64 -1/6 (pow.f64 phi2 3)) (+.f64 (.f64 1/120 (pow.f64 phi2 5)) phi2))
(+.f64 (.f64 -1/5040 (pow.f64 phi2 7)) (+.f64 (.f64 -1/6 (pow.f64 phi2 3)) (+.f64 (*.f64 1/120 (pow.f64 phi2 5)) phi2)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(-.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 0)
(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))
(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))
(.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (/.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))
(.f64 (/.f64 1 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))
(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))
(.f64 (/.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(.f64 (/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(/.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 2) 2)
(pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) 1)
(+.f64 (sin.f64 phi2) 0)
(+.f64 (sin.f64 phi2) (*.f64 (cos.f64 phi2) (sin.f64 0)))
(+.f64 (sin.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (sin.f64 0)) (.f64 (cos.f64 phi2) (sin.f64 0))))
(+.f64 0 (sin.f64 phi2))
(+.f64 (*.f64 (cos.f64 phi2) (sin.f64 0)) (sin.f64 phi2))
(-.f64 (sin.f64 phi2) 0)
(-.f64 (sin.f64 phi2) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) phi2))))
(*.f64 (sin.f64 phi2) 1)
(*.f64 (sin.f64 phi2) (/.f64 (sin.f64 phi2) (sin.f64 phi2)))
(*.f64 (sin.f64 phi2) (cos.f64 0))
(.f64 (sin.f64 phi2) (.f64 (sin.f64 phi2) (/.f64 1 (sin.f64 phi2))))
(*.f64 (sin.f64 phi2) (/.f64 1 (/.f64 (sin.f64 phi2) (sin.f64 phi2))))
(.f64 (sin.f64 phi2) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (sin.f64 phi2) (.f64 (cos.f64 0) (/.f64 (sin.f64 phi2) (sin.f64 phi2))))
(*.f64 1 (sin.f64 phi2))
(*.f64 (/.f64 (sin.f64 phi2) (sin.f64 phi2)) (sin.f64 phi2))
(.f64 (/.f64 1 (sin.f64 phi2)) (.f64 (sin.f64 phi2) (sin.f64 phi2)))
(.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (/.f64 1 (sin.f64 phi2)))
(.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (*.f64 (cos.f64 0) (/.f64 1 (sin.f64 phi2))))
(*.f64 (cos.f64 0) (sin.f64 phi2))
(.f64 (.f64 (sin.f64 phi2) (/.f64 1 (sin.f64 phi2))) (sin.f64 phi2))
(.f64 (/.f64 1 (/.f64 (sin.f64 phi2) (sin.f64 phi2))) (.f64 (sin.f64 phi2) (*.f64 (/.f64 (sin.f64 phi2) (sin.f64 phi2)) (/.f64 (sin.f64 phi2) (sin.f64 phi2)))))
(.f64 (/.f64 (cos.f64 0) (sin.f64 phi2)) (.f64 (sin.f64 phi2) (sin.f64 phi2)))
(.f64 (/.f64 (/.f64 1 (sin.f64 phi2)) (.f64 (sin.f64 phi2) (sin.f64 phi2))) (.f64 (sin.f64 phi2) (.f64 (sin.f64 phi2) (*.f64 (sin.f64 phi2) (sin.f64 phi2)))))
(.f64 (/.f64 (/.f64 (sin.f64 phi2) (sin.f64 phi2)) (sin.f64 phi2)) (.f64 (sin.f64 phi2) (sin.f64 phi2)))
(.f64 (/.f64 (.f64 (sin.f64 phi2) (/.f64 1 (sin.f64 phi2))) (sin.f64 phi2)) (*.f64 (sin.f64 phi2) (sin.f64 phi2)))
(/.f64 (sin.f64 phi2) 1)
(/.f64 (sin.f64 phi2) (/.f64 (sin.f64 phi2) (sin.f64 phi2)))
(/.f64 (*.f64 (sin.f64 phi2) 2) 2)
(pow.f64 (sin.f64 phi2) 1)
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) phi2))

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

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
	0.2b	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2))
	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 98 to 19 computations (80.6% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
✓	0.2b	(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2))
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
✓	15.3b	(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1)))

Compiler

Compiled 110 to 36 computations (67.3% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	phi2	@	inf	(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2))
1.0ms	phi2	@	0	(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2))
1.0ms	lambda2	@	0	(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1)))
0.0ms	lambda2	@	0	(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2))
0.0ms	lambda1	@	0	(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2))

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best-5`
1152×	`rational_best-4`
1152×	`rational_best-2`
1152×	`rational_best-3`
1152×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	136	60
2	538	60
3	2384	40

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1)))
(*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2))

Outputs

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

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

simplify124.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

926×	`rational_best-simplify-1`
888×	`rational_best-simplify-2`
558×	`rational_best-simplify-46`
548×	`rational_best-simplify-80`
490×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	3824
1	403	3696
2	871	3478
3	1829	3374
4	4241	3374

Stop Event

1×	node limit

Counts

94 → 128

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

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
✓	0.3b	(+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2))))
✓	11.6b	(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1))))
✓	11.7b	(cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))

Compiler

Compiled 191 to 74 computations (61.3% saved)

series19.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
10.0ms	phi2	@	(+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2))))
3.0ms	lambda1	@	(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1))))
1.0ms	lambda1	@	(cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))
1.0ms	lambda2	@	(+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2))))
1.0ms	lambda1	@	(+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2))))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`rational_best-5`
1682×	`rational_best-4`
1682×	`rational_best-2`
1682×	`rational_best-3`
1682×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	129
1	173	129
2	711	129
3	3344	109

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs

(cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))

(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1))))

(+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2))))

Outputs

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

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

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

simplify169.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1830×	`rational_best-simplify-54`
1102×	`rational_best-simplify-43`
862×	`rational_best-simplify-44`
586×	`rational_best-simplify-1`
570×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	9306
1	668	9116
2	1431	8918
3	3823	8870

Stop Event

1×	node limit

Counts

162 → 233

Calls

Call 1

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

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

eval1.0s (3.2%)

Compiler: Compiled 99416 to 29331 computations (70.5% saved)

prune985.0ms (3%)

Pruning

89 alts after pruning (88 fresh and 1 done)

	Pruned	Kept	Total
New	1687	37	1724
Fresh	17	51	68
Picked	1	0	1
Done	3	1	4
Total	1708	89	1797

Error

9.0b

Counts

1797 → 89

Alt Table

Click to see full alt table

Status	Error	Program
	46.7b	(atan2.f64 (/.f64 (+.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) phi2))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (+.f64 (/.f64 (PI.f64) 2) phi2)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	47.1b	(atan2.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	50.4b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64))) phi2)) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	50.3b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 phi2 lambda1))) (cos.f64 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) phi2) lambda1))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	49.2b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (-.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64))) phi2))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	49.1b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 phi2 lambda1)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	48.7b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) 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)))))
	49.1b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2))))
	50.2b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 phi2 (-.f64 lambda2 lambda1)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (sin.f64 phi2))
	49.2b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda2 phi2))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (-.f64 lambda2 phi2)))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	48.0b	(atan2.f64 (/.f64 (.f64 2 (cos.f64 (-.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64))) lambda1))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	45.8b	(atan2.f64 (+.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))) (.f64 1/24 (.f64 (pow.f64 phi2 4) (sin.f64 (-.f64 lambda1 lambda2))))) (sin.f64 phi2))
	40.1b	(atan2.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.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)))))
	40.7b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	43.1b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (*.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (sin.f64 phi2))
	28.5b	(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)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	28.5b	(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)))))
	40.3b	(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 (cos.f64 phi2) phi1) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
	29.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.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)))))))
	31.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.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))))))))
	40.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
	32.6b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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)))))
	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (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))))
	25.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	38.7b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	27.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (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)))))
	26.8b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	28.2b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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))))
	35.5b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (sin.f64 phi2))
	21.7b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (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)))))
	32.6b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (sin.f64 phi2))
	32.1b	(atan2.f64 (.f64 (.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	44.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (sin.f64 phi2))
	25.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	49.0b	(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) 2) phi1))) (cos.f64 (-.f64 lambda1 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 phi1))))) 2)))
	24.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (sin.f64 phi1)) (cos.f64 lambda1))))
	40.2b	(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 phi2 (-.f64 (/.f64 (PI.f64) 2) phi1))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) phi2))) 2) (cos.f64 (neg.f64 lambda2)))))
	29.2b	(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))))
	37.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))) (cos.f64 (neg.f64 lambda2)))))
	29.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1))))
	23.9b	(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 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	25.4b	(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 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (cos.f64 (neg.f64 lambda2)) 4)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	18.9b	(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 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 2))) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	19.8b	(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 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))))))
	25.3b	(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 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (neg.f64 lambda2))))))
	25.3b	(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) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))))
	25.4b	(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)))))
	25.2b	(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))))
	32.7b	(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 (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (sin.f64 phi1))) (sin.f64 phi1)))))
	32.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 phi1 (cos.f64 lambda2))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (sin.f64 phi1))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2))))))
	37.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))) (*.f64 phi2 (cos.f64 phi1))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1))) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2)))))))
	42.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 -1/6 (pow.f64 phi2 3)) phi2))
	25.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))) (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
	32.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (sin.f64 phi2)) (*.f64 (sin.f64 phi2) (sin.f64 phi2))))
	36.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))
✓	32.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	43.0b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) phi2)))
	42.8b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2)
	32.2b	(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)))))
	37.8b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.7b	(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))))
	42.6b	(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)))
	41.7b	(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	32.4b	(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)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	38.6b	(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)))))
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.6b	(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))))
	42.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	41.0b	(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
	48.4b	(atan2.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	46.9b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	47.1b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
	46.8b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	49.3b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	49.8b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))) (*.f64 phi2 (cos.f64 phi1))))
	48.4b	(atan2.f64 (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))
	48.5b	(atan2.f64 (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (sin.f64 phi2))
	48.9b	(atan2.f64 (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	45.7b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
	45.5b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	44.8b	(atan2.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	46.8b	(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)))))
	50.6b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	40.6b	(.f64 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))))) (.f64 (/.f64 1 (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))) (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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))))))
	32.4b	(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))))

Compiler

Compiled 3036 to 1856 computations (38.9% saved)

regimes511.0ms (1.6%)

Counts

155 → 1

Calls

Call 1

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

Outputs
(atan2.f64 (.f64 (sin.f64 (-.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))))))

Calls

6 calls:

75.0ms	(-.f64 lambda1 lambda2)
72.0ms	lambda1
72.0ms	lambda2
72.0ms	phi2
71.0ms	phi1

Results

Error	Segments	Branch
13.4b	1	`lambda1`
13.4b	1	`lambda2`
13.4b	1	`phi1`
13.4b	1	`phi2`
13.4b	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)))))`
13.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4847 to 1161 computations (76% saved)

regimes337.0ms (1%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

5 calls:

74.0ms	lambda1
73.0ms	phi2
72.0ms	(-.f64 lambda1 lambda2)
72.0ms	lambda2
26.0ms	phi1

Results

Error	Segments	Branch
13.1b	3	`lambda1`
12.5b	3	`lambda2`
19.1b	1	`phi1`
16.1b	3	`phi2`
17.5b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1156 to 272 computations (76.5% saved)

bsearch244.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
123.0ms	0.004259251913853966	5015.555182163305
120.0ms	-273310860313.084	-253807071.22695675

Results

157.0ms	142×	body	1024	valid
50.0ms	65×	body	512	valid
20.0ms	60×	body	256	valid
10.0ms	5×	body	2048	valid

Compiler

Compiled 961 to 643 computations (33.1% saved)

regimes331.0ms (1%)

Counts

55 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

74.0ms	(-.f64 lambda1 lambda2)
72.0ms	lambda1
71.0ms	lambda2
69.0ms	phi2
26.0ms	phi1

Results

Error	Segments	Branch
16.3b	3	`lambda1`
12.6b	3	`lambda2`
19.1b	1	`phi1`
16.4b	3	`phi2`
17.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1109 to 268 computations (75.8% saved)

bsearch232.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
132.0ms	0.004259251913853966	5015.555182163305
98.0ms	-1.0855973385213944e+56	-1.1586061185904297e+54

Results

173.0ms	155×	body	1024	valid
31.0ms	43×	body	512	valid
18.0ms	56×	body	256	valid
5.0ms	2×	body	2048	valid

Compiler

Compiled 899 to 599 computations (33.4% saved)

regimes476.0ms (1.4%)

Counts

51 → 4

Calls

Call 1

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

107.0ms	(-.f64 lambda1 lambda2)
106.0ms	phi1
87.0ms	phi2
87.0ms	lambda2
69.0ms	lambda1

Results

Error	Segments	Branch
17.0b	3	`lambda1`
16.0b	4	`lambda2`
19.9b	5	`phi1`
19.9b	3	`phi2`
18.2b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1018 to 254 computations (75% saved)

bsearch380.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
130.0ms	0.004259251913853966	5015.555182163305
107.0ms	2.0667145588517513e-244	1.0711379905638016e-242
143.0ms	-36925.23691514283	-3.826294225660138e-6

Results

261.0ms	233×	body	1024	valid
61.0ms	90×	body	512	valid
28.0ms	82×	body	256	valid
23.0ms	11×	body	2048	valid

Compiler

Compiled 1357 to 910 computations (32.9% saved)

regimes317.0ms (1%)

Counts

50 → 4

Calls

Call 1

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

Calls

5 calls:

84.0ms	lambda2
64.0ms	(-.f64 lambda1 lambda2)
63.0ms	lambda1
62.0ms	phi2
25.0ms	phi1

Results

Error	Segments	Branch
18.7b	3	`lambda1`
18.5b	4	`lambda2`
22.4b	1	`phi1`
19.9b	3	`phi2`
20.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 996 to 253 computations (74.6% saved)

bsearch256.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
124.0ms	0.004259251913853966	5015.555182163305
91.0ms	2.0667145588517513e-244	1.0711379905638016e-242
40.0ms	-1.9052051889550843e-171	-1.4809292272414812e-171

Results

177.0ms	169×	body	1024	valid
47.0ms	72×	body	512	valid
19.0ms	61×	body	256	valid
6.0ms	2×	body	2048	valid

Compiler

Compiled 972 to 662 computations (31.9% saved)

regimes269.0ms (0.8%)

Counts

46 → 3

Calls

Call 1

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

Calls

5 calls:

59.0ms	lambda1
58.0ms	lambda2
57.0ms	(-.f64 lambda1 lambda2)
57.0ms	phi2
20.0ms	phi1

Results

Error	Segments	Branch
21.3b	3	`lambda1`
20.3b	3	`lambda2`
22.4b	1	`phi1`
19.9b	3	`phi2`
20.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 912 to 244 computations (73.2% saved)

bsearch212.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	1.0640958485149517e+33	4.3216423567569564e+33
120.0ms	-2478611.5192863485	-3193.6436526273164

Results

149.0ms	130×	body	1024	valid
29.0ms	40×	body	512	valid
16.0ms	47×	body	256	valid
15.0ms	7×	body	2048	valid

Compiler

Compiled 735 to 485 computations (34% saved)

regimes260.0ms (0.8%)

Counts

34 → 4

Calls

Call 1

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

Calls

5 calls:

71.0ms	phi2
60.0ms	(-.f64 lambda1 lambda2)
57.0ms	lambda2
43.0ms	lambda1
16.0ms	phi1

Results

Error	Segments	Branch
22.0b	3	`lambda1`
20.1b	4	`lambda2`
25.2b	1	`phi1`
21.5b	5	`phi2`
22.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 631 to 188 computations (70.2% saved)

bsearch336.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
132.0ms	0.004259251913853966	5015.555182163305
82.0ms	-9.846928496645617e-284	-2.107909403590231e-284
121.0ms	-1.0820659470925754e+75	-2.8319077011518194e+65

Results

244.0ms	220×	body	1024	valid
51.0ms	81×	body	512	valid
26.0ms	80×	body	256	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 1205 to 842 computations (30.1% saved)

regimes192.0ms (0.6%)

Counts

31 → 3

Calls

Call 1

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

Outputs

(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 phi2) (sin.f64 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))))

Calls

5 calls:

56.0ms	(-.f64 lambda1 lambda2)
41.0ms	phi2
40.0ms	lambda1
27.0ms	lambda2
17.0ms	phi1

Results

Error	Segments	Branch
22.3b	3	`lambda1`
23.8b	2	`lambda2`
25.2b	1	`phi1`
22.6b	3	`phi2`
22.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 570 to 179 computations (68.6% saved)

bsearch222.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	7.182646337764575e+131	2.62855921741678e+133
114.0ms	-2.3498590525594195e+50	-3.1553452752811296e+47

Results

164.0ms	145×	body	1024	valid
44.0ms	68×	body	512	valid
8.0ms	27×	body	256	valid

Compiler

Compiled 755 to 518 computations (31.4% saved)

regimes223.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

5 calls:

62.0ms	(-.f64 lambda1 lambda2)
39.0ms	lambda1
38.0ms	phi2
37.0ms	phi1
37.0ms	lambda2

Results

Error	Segments	Branch
27.8b	3	`lambda1`
27.9b	3	`lambda2`
25.7b	3	`phi1`
26.1b	3	`phi2`
28.9b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 513 to 170 computations (66.9% saved)

bsearch234.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	999234549130.4171	14655977595666.012
138.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

165.0ms	145×	body	1024	valid
27.0ms	41×	body	512	valid
25.0ms	13×	body	2048	valid
13.0ms	41×	body	256	valid

Compiler

Compiled 695 to 473 computations (31.9% saved)

regimes165.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

39.0ms	lambda2
31.0ms	(-.f64 lambda1 lambda2)
30.0ms	phi2
29.0ms	lambda1
29.0ms	phi1

Results

Error	Segments	Branch
30.2b	3	`lambda1`
29.1b	4	`lambda2`
25.7b	3	`phi1`
26.1b	3	`phi2`
29.9b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 353 to 117 computations (66.9% saved)

bsearch260.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
129.0ms	182604576.05846018	999234549130.4171
130.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

184.0ms	162×	body	1024	valid
39.0ms	58×	body	512	valid
20.0ms	10×	body	2048	valid
13.0ms	42×	body	256	valid

Compiler

Compiled 749 to 533 computations (28.8% saved)

regimes248.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

139.0ms	lambda2
46.0ms	(-.f64 lambda1 lambda2)
25.0ms	phi1
23.0ms	phi2
9.0ms	lambda1

Results

Error	Segments	Branch
32.1b	1	`lambda1`
30.4b	3	`lambda2`
26.1b	3	`phi1`
27.4b	3	`phi2`
30.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 260 to 102 computations (60.8% saved)

bsearch277.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
131.0ms	2060.248838326662	48407.89664440647
145.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

201.0ms	157×	body	1024	valid
41.0ms	59×	body	512	valid
18.0ms	6×	body	2048	valid
11.0ms	34×	body	256	valid

Compiler

Compiled 579 to 423 computations (26.9% saved)

regimes32.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
32.1b	1	`lambda1`
32.1b	1	`lambda2`
32.1b	1	`phi1`
32.1b	1	`phi2`
32.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 125 to 66 computations (47.2% saved)

regimes74.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

5 calls:

24.0ms	(-.f64 lambda1 lambda2)
18.0ms	lambda1
17.0ms	phi2
10.0ms	lambda2
4.0ms	phi1

Results

Error	Segments	Branch
33.6b	3	`lambda1`
33.3b	3	`lambda2`
41.0b	1	`phi1`
35.2b	5	`phi2`
35.7b	7	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 57 to 38 computations (33.3% saved)

bsearch474.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
187.0ms	0.004259251913853966	5015.555182163305
286.0ms	-164664091.18758073	-36925.23691514283

Results

365.0ms	160×	body	1024	valid
72.0ms	55×	body	512	valid
16.0ms	8×	body	2048	valid
16.0ms	49×	body	256	valid

Compiler

Compiled 494 to 380 computations (23.1% saved)

regimes40.0ms (0.1%)

Accuracy

Total -12.1b remaining (-33.1%)

Threshold costs -12.1b (-33.1%)

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

11.0ms	lambda1
9.0ms	(-.f64 lambda1 lambda2)
8.0ms	phi2
6.0ms	lambda2
4.0ms	phi1

Results

Error	Segments	Branch
36.9b	3	`lambda1`
38.7b	2	`lambda2`
41.0b	1	`phi1`
36.5b	3	`phi2`
39.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch542.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
294.0ms	1.0368895050793848e-22	4.183497721134468e-12
248.0ms	-2.8855691541562834e+150	-3.955568041046258e+148

Results

465.0ms	156×	body	1024	valid
51.0ms	79×	body	512	valid
10.0ms	32×	body	256	valid
10.0ms	5×	body	2048	valid

Compiler

Compiled 494 to 363 computations (26.5% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2549

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda2 -255000000) (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))))) (if (<=.f64 lambda2 2132904783522667/288230376151711744) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))))
(if (<=.f64 lambda2 -1499999999999999947296127146425134031770736733945069568) (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 5188146770730811/576460752303423488) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))))
(if (<=.f64 lambda2 -5460236245818027/147573952589676412928) (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 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda2 3152519739159347/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (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 -8267056630594417/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (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 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda2 3242591731706757/36028797018963968) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (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)) (sin.f64 phi1)))))))
(if (<=.f64 phi2 -3200) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (if (<=.f64 phi2 1080000000000000050748792403656704) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))
(if (<=.f64 lambda2 -71999999999999997559785715140660637291667821743003662703615520276480) (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 -7868891334024151/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (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 lambda2 8358680908399641/144115188075855872) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (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)) (sin.f64 phi1)))))))
(if (<=.f64 lambda1 -360000000000000007671539654766762878089356640256) (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 lambda1 11199999999999999645118315249521630554704162478884702661711501606019035823785638138279061523067117675088241204305835705357462839230464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 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))))))
(if (<=.f64 phi1 -2132904783522667/1152921504606846976) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 1000000000000) (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 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -2582544170319337/9223372036854775808) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 185000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 phi1 (cos.f64 lambda2)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -4796153459164483/36893488147419103232) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 2700) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(if (<=.f64 lambda2 -38000) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 lambda2 5584463537939415/36028797018963968) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -80000000000000003918138126012041646365778160282459511099603389967213461087470780492898522339782117103449045174520822140964274633493006817368182095872) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 5075554161070059/1237940039285380274899124224) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 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) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda2 -255000000) (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))))) (if (<=.f64 lambda2 2132904783522667/288230376151711744) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))))
(if (<=.f64 lambda2 -1499999999999999947296127146425134031770736733945069568) (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 5188146770730811/576460752303423488) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (neg.f64 lambda2)))))))
(if (<=.f64 lambda2 -5460236245818027/147573952589676412928) (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 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda2 3152519739159347/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (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 -8267056630594417/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (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 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda2 3242591731706757/36028797018963968) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (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)) (sin.f64 phi1)))))))
(if (<=.f64 phi2 -3200) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (if (<=.f64 phi2 1080000000000000050748792403656704) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))
(if (<=.f64 lambda2 -71999999999999997559785715140660637291667821743003662703615520276480) (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 -7868891334024151/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (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 lambda2 8358680908399641/144115188075855872) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (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)) (sin.f64 phi1)))))))
(if (<=.f64 lambda1 -360000000000000007671539654766762878089356640256) (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 lambda1 11199999999999999645118315249521630554704162478884702661711501606019035823785638138279061523067117675088241204305835705357462839230464) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (sin.f64 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))))))
(if (<=.f64 phi1 -2132904783522667/1152921504606846976) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 1000000000000) (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 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -2582544170319337/9223372036854775808) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 185000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 phi1 (cos.f64 lambda2)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -4796153459164483/36893488147419103232) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 2700) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(if (<=.f64 lambda2 -38000) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 lambda2 5584463537939415/36028797018963968) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -80000000000000003918138126012041646365778160282459511099603389967213461087470780492898522339782117103449045174520822140964274633493006817368182095872) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 5075554161070059/1237940039285380274899124224) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2)

Compiler

Compiled 884 to 375 computations (57.6% saved)

soundness216.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best-simplify-46`
1198×	`rational_best-simplify-45`
950×	`rational_best-simplify-1`
936×	`rational_best-simplify-51`
830×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	34	77
2	78	77
3	145	77
4	248	77
5	515	77
6	1165	77
7	2749	77
8	6744	77

Stop Event

1×	node limit

Compiler

Compiled 100 to 28 computations (72% saved)

end293.0ms (0.9%)

Compiler: Compiled 828 to 140 computations (83.1% saved)