Details

analyze1.4s (4.8%)

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
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
10.9%	10.9%	88.9%	0.2%	0%	0%	0%	11
10.9%	10.9%	88.9%	0.2%	0%	0%	0%	12

Compiler

Compiled 25 to 15 computations (40% saved)

sample7.9s (27.9%)

Results

5.5s	4578×	body	1024	valid
1.6s	1827×	body	512	valid
467.0ms	1734×	body	256	valid
292.0ms	117×	body	2048	valid

Bogosity

preprocess69.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1292×	`rational_best-simplify-48`
1070×	`rational_best-simplify-1`
946×	`rational_best-simplify-2`
918×	`rational_best-simplify-43`
652×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	441
1	150	441
2	336	441
3	537	441
4	1127	441
5	3994	441
6	7002	441
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
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 phi1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(+.f64 phi2 (atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational_best-simplify-49`
1384×	`rational_best-simplify-46`
856×	`rational_best-simplify-53`
740×	`rational_best-simplify-48`
536×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	33	63
2	62	63
3	103	63
4	211	63
5	567	63
6	1853	63
7	6587	63

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 24 to 14 computations (41.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 24 to 14 computations (41.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	0.7b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
✓	2.0b	(cos.f64 (-.f64 lambda1 lambda2))
✓	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series10.0ms (0%)

Counts

4 → 128

Calls

36 calls:

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

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational_best-simplify-2`
1050×	`rational_best-simplify-50`
1016×	`rational_best-simplify-51`
878×	`rational_best-simplify-49`
832×	`rational_best-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	113	110
2	266	110
3	648	110
4	1753	110
5	6624	110

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (cos.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (sin.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 lambda1 lambda1))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) 2)) (sin.f64 (+.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 (neg.f64 lambda1))) (.f64 (sin.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))) (.f64 (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 (.f64 (-.f64 lambda1 lambda2) -2))) (.f64 (sin.f64 (+.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (PI.f64)))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) -2))))))) (#(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)) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 1 (cos.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sin.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64)))))) (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64)))))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 (sin.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 lambda2 lambda1)))))))
((#(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 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 lambda1 lambda1))) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 -2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 lambda1 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 (neg.f64 lambda1))) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))) (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) -2)) (sin.f64 (+.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (PI.f64))))) (.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda2) (cos.f64 (neg.f64 lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 2 (.f64 (cos.f64 0) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 2 (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 (cos.f64 0) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 (cos.f64 0) 1) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 (cos.f64 0) 1) (.f64 (cos.f64 0) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 (cos.f64 0) 1) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 1 (cos.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 1 (cos.f64 0)) (.f64 (cos.f64 0) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 0) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 0) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 0) 2) (.f64 (cos.f64 0) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 0) 2) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 2 (cos.f64 0)) (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 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 neg.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 lambda2 lambda1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (cos.f64 phi1) 2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)))))

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-2`
942×	`rational_best-simplify-53`
824×	`rational_best-simplify-1`
636×	`rational_best-simplify-51`
616×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	407	9537
1	982	9421
2	2419	8637
3	5428	8571

Stop Event

1×	node limit

Counts

245 → 274

Calls

Call 1

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

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

eval83.0ms (0.3%)

Compiler: Compiled 8210 to 2706 computations (67% saved)

prune82.0ms (0.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	254	20	274
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	20	275

Error

0.3b

Counts

275 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	25.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) 2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) 2)) (sin.f64 (+.f64 lambda2 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))) (.f64 (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	0.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	16.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	14.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
▶	13.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
▶	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
	0.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda2 -2))))))))
	13.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 (neg.f64 lambda1))) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 1/2 (PI.f64))))))))))
▶	0.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))) (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))))))
	13.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (-.f64 lambda2 lambda1) (*.f64 1/2 (PI.f64))))))))
	14.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (+.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))))
	15.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))
	24.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 1292 to 832 computations (35.6% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
✓	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.7b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 138 to 20 computations (85.5% saved)

series15.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational_best-1`
1240×	`rational_best-4`
1240×	`rational_best-2`
1240×	`rational_best-3`
1240×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	151
1	161	151
2	382	151
3	963	151
4	2921	103

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) -1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 (+.f64 lambda1 lambda2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2) (.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))))

simplify216.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational_best-simplify-51`
930×	`rational_best-simplify-1`
676×	`rational_best-simplify-45`
638×	`rational_best-simplify-2`
620×	`rational_best-simplify-47`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	210	8622
1	488	8532
2	1008	8452
3	2147	8362
4	5337	8352
5	7031	7422

Stop Event

1×	node limit

Counts

152 → 149

Calls

Call 1

Inputs
(+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (pow.f64 phi2 4) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (.f64 -1/720 (.f64 (pow.f64 phi2 6) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (cos.f64 phi1) (.f64 -1/6 (.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (sin.f64 lambda2) lambda1)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 lambda2 (sin.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (.f64 -1/5040 (*.f64 (pow.f64 lambda2 7) (sin.f64 lambda1))))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(pow.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 0)
(+.f64 0 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)))
(-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 0)
(-.f64 0 (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 1/2))
(-.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)) (/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) -2))
(-.f64 (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) -1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)
(/.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 2)) 2)
(/.f64 (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) -1)
(/.f64 (neg.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 2))) -2)
(/.f64 (-.f64 (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2)) 4)
(/.f64 (-.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 (+.f64 lambda1 lambda2)))) -2)
(/.f64 (-.f64 (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) -2)
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2) (.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) -4)
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)

Outputs
(+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))))
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(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 1/2))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(-.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 1/2)) (/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) -2))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(-.f64 (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) -1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 2)) 2)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) -1)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (neg.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) 2))) -2)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (-.f64 (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2)) 4)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (-.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (cos.f64 (+.f64 lambda1 lambda2)))) -2)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (-.f64 (neg.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) -2)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) 2) (.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) -4)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(neg.f64 (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))
✓	0.7b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
✓	2.0b	(cos.f64 (-.f64 lambda2 lambda1))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series9.0ms (0%)

Counts

3 → 100

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	-inf	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))
2.0ms	lambda1	@	0	(cos.f64 (-.f64 lambda2 lambda1))
0.0ms	phi1	@	inf	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
0.0ms	lambda2	@	0	(cos.f64 (-.f64 lambda2 lambda1))
0.0ms	phi1	@	0	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`rational_best-simplify-2`
1094×	`rational_best-simplify-51`
968×	`rational_best-simplify-52`
852×	`rational_best-simplify-50`
716×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	106	79
2	222	79
3	552	79
4	1523	79
5	5707	79

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

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

(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 1)))))

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1054×	`rational_best-simplify-47`
1034×	`rational_best-simplify-53`
864×	`rational_best-simplify-44`
662×	`rational_best-simplify-1`
640×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	6684
1	737	6560
2	1908	6172
3	5205	6128

Stop Event

1×	node limit

Counts

182 → 212

Calls

Call 1

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

Outputs
(cos.f64 (neg.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 (sin.f64 (neg.f64 lambda1)) (neg.f64 lambda2)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2)))))
(+.f64 (.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1)))) (+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda1)) (pow.f64 lambda2 3)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2))) (+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda1)) (*.f64 1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 (sin.f64 (neg.f64 lambda1)) (*.f64 1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 (sin.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) (*.f64 -1/2 (cos.f64 lambda2)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3)))))
(+.f64 (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (.f64 -1/2 (cos.f64 lambda2)))) (.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) lambda1)))
(+.f64 (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (.f64 -1/2 (cos.f64 lambda2)))) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))))
(+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 (neg.f64 lambda1)) (neg.f64 lambda2))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1)))) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2)))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2))))))
(+.f64 (.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1)))) (cos.f64 phi1))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))))
(+.f64 (+.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda1)) (pow.f64 lambda2 3)))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1)))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda1)) (pow.f64 lambda2 2))) (+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda1)) (*.f64 1/6 (pow.f64 lambda2 3))))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1)))
(+.f64 (.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (+.f64 (.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1)))) (.f64 (sin.f64 (neg.f64 lambda1)) (*.f64 1/6 (pow.f64 lambda2 3)))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1))))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (+.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 (cos.f64 lambda2) (+.f64 (cos.f64 phi1) (*.f64 lambda1 (sin.f64 lambda2))))
(+.f64 (cos.f64 lambda2) (+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (*.f64 -1/2 (cos.f64 lambda2)))) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 (.f64 (sin.f64 lambda2) (.f64 -1/6 (pow.f64 lambda1 3))) (+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (cos.f64 lambda2) (cos.f64 phi1))))
(+.f64 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (.f64 (sin.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3))) (cos.f64 phi1)))
(+.f64 (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (.f64 -1/2 (cos.f64 lambda2)))) (.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) lambda1))) (cos.f64 phi1))
(+.f64 (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (.f64 -1/2 (cos.f64 lambda2)))) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi1))
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(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (cos.f64 (-.f64 lambda1 (neg.f64 lambda2))) (cos.f64 (-.f64 lambda2 lambda1)))) 2)
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda2 lambda1) (.f64 lambda2 -2)))) (-.f64 (cos.f64 (-.f64 (+.f64 lambda2 lambda1) (.f64 lambda2 -2))) (cos.f64 (-.f64 lambda2 lambda1)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda2 -2)))) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda2 -2))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda2 -2)))) (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda2 -2))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda2 -2)))) (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda2 -2))))) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 (neg.f64 lambda1)))) (-.f64 (cos.f64 (-.f64 lambda2 (neg.f64 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) 2)
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -2)))) (-.f64 (cos.f64 (-.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -2))) (cos.f64 (-.f64 lambda2 lambda1)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda1 -2)))) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda1 -2))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda1 -2)))) (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda1 -2))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda1 -2)))) (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (+.f64 lambda1 lambda2) (.f64 lambda1 -2))))) 2)
(pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(neg.f64 (neg.f64 (cos.f64 (-.f64 lambda2 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))
(sin.f64 (+.f64 lambda2 (-.f64 (*.f64 (PI.f64) 1/2) lambda1)))
(sin.f64 (-.f64 lambda1 (-.f64 lambda2 (*.f64 1/2 (PI.f64)))))
(sin.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 lambda1 lambda2)))
(sin.f64 (+.f64 (-.f64 lambda1 lambda2) (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) 0)
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) 1)
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 0))
(*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 0))
(*.f64 1 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 0) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) (cos.f64 0))
(*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 0))
(/.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) 1)
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(pow.f64 (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))) 1)
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 0)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 0)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 1)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 1)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))) 1)
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
✓	0.7b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 82 to 15 computations (81.7% saved)

series8.0ms (0%)

Counts

3 → 104

Calls

30 calls:

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

rewrite116.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational_best-simplify-2`
1006×	`rational_best-simplify-50`
994×	`rational_best-simplify-51`
786×	`rational_best-4`
786×	`rational_best-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	105
1	123	105
2	284	105
3	653	105
4	1698	97
5	6204	97

Stop Event

1×	node limit

Counts

3 → 20

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 1)))))

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

simplify123.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational_best-simplify-49`
1228×	`rational_best-simplify-46`
1118×	`rational_best-simplify-54`
1036×	`rational_best-simplify-52`
990×	`rational_best-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	165	5878
1	392	5814
2	751	5730
3	1222	5636
4	2002	5580
5	3630	5082

Stop Event

1×	node limit

Counts

124 → 141

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 (neg.f64 lambda2)) lambda1)
✓	0.1b	(.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
	0.7b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	2.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 118 to 18 computations (84.7% saved)

series6.0ms (0%)

Counts

2 → 32

Calls

15 calls:

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`rational_best-1`
1356×	`rational_best-4`
1356×	`rational_best-2`
1356×	`rational_best-3`
1356×	`exponential-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	93	54
2	181	54
3	304	54
4	652	54
5	1674	46
6	4361	46

Stop Event

1×	node limit

Counts

2 → 10

Calls

Call 1

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

Outputs

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

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

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best-simplify-48`
994×	`rational_best-simplify-1`
890×	`rational_best-simplify-2`
786×	`rational_best-simplify-49`
722×	`rational_best-simplify-46`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	89	1688
1	190	1682
2	312	1652
3	471	1552
4	687	1502
5	1044	1494
6	2078	1358
7	5075	1358
8	7662	1358

Stop Event

1×	node limit

Counts

42 → 90

Calls

Call 1

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
	0.7b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	2.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 131 to 20 computations (84.7% saved)

series4.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	0	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.0ms	lambda2	@	0	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.0ms	lambda1	@	-inf	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.0ms	lambda2	@	inf	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.0ms	lambda1	@	inf	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational_best-1`
982×	`rational_best-4`
982×	`rational_best-2`
982×	`rational_best-3`
982×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	96
1	153	96
2	350	96
3	898	96
4	2275	72
5	7652	72

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)))))

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

simplify153.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational_best-simplify-1`
1080×	`rational_best-simplify-2`
786×	`rational_best-simplify-49`
688×	`rational_best-simplify-51`
670×	`rational_best-simplify-46`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	137	5364
1	276	5318
2	521	5250
3	980	5212
4	2358	5202
5	5589	3878
6	7486	3878

Stop Event

1×	node limit

Counts

80 → 75

Calls

Call 1

Inputs
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(*.f64 (cos.f64 lambda2) lambda1)
(+.f64 (.f64 -1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (cos.f64 lambda2) lambda1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (cos.f64 lambda2) lambda1)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 -1/5040 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 7))))))
(sin.f64 lambda1)
(+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (sin.f64 lambda1)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (sin.f64 lambda1))))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(+.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 0)
(+.f64 0 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(-.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 0)
(-.f64 0 (*.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda1))))
(-.f64 (/.f64 (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1)) 2) (/.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) 2))
(-.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) -1/2) (+.f64 lambda1 lambda2))) 2) (/.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) 2))
(/.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1)
(/.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) 2)) 2)
(/.f64 (*.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda1))) -1)
(/.f64 (.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) -2) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1)) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) -1/2) (+.f64 lambda1 lambda2))) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) -2)) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda1 lambda2))) (cos.f64 (-.f64 (+.f64 lambda1 (.f64 (PI.f64) -1/2)) lambda2))) 2)
(/.f64 (.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (cos.f64 0)) 1)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1)
(neg.f64 (*.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda1))))

Outputs
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 lambda2 -1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 lambda2) lambda1)
(*.f64 lambda1 (cos.f64 lambda2))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (cos.f64 lambda2) lambda1))
(+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3))))
(.f64 (cos.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (cos.f64 lambda2) lambda1)))
(+.f64 (.f64 lambda1 (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/6 (pow.f64 lambda1 3))) (.f64 (cos.f64 lambda2) (*.f64 1/120 (pow.f64 lambda1 5)))))
(+.f64 (.f64 (cos.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (cos.f64 lambda2) (.f64 1/120 (pow.f64 lambda1 5))))
(.f64 (cos.f64 lambda2) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(.f64 (cos.f64 lambda2) (+.f64 lambda1 (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (*.f64 -1/6 (pow.f64 lambda1 3)))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 5))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 (cos.f64 lambda2) lambda1) (.f64 -1/5040 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 7))))))
(+.f64 (+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/5040 (pow.f64 lambda1 7)))) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/6 (pow.f64 lambda1 3))) (.f64 (cos.f64 lambda2) (*.f64 1/120 (pow.f64 lambda1 5)))))
(+.f64 (.f64 (cos.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/5040 (pow.f64 lambda1 7))) (.f64 (cos.f64 lambda2) (.f64 1/120 (pow.f64 lambda1 5)))))
(+.f64 (.f64 (cos.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (cos.f64 lambda2) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (*.f64 -1/5040 (pow.f64 lambda1 7)))))
(.f64 (cos.f64 lambda2) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 (.f64 -1/5040 (pow.f64 lambda1 7)) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))))
(.f64 (cos.f64 lambda2) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 lambda1 (+.f64 (.f64 -1/5040 (pow.f64 lambda1 7)) (.f64 -1/6 (pow.f64 lambda1 3))))))
(sin.f64 lambda1)
(+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))
(+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))))
(.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) 1))
(.f64 (sin.f64 lambda1) (+.f64 1 (.f64 -1/2 (pow.f64 lambda2 2))))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (sin.f64 lambda1)))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 4))) (+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(.f64 (sin.f64 lambda1) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (*.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (sin.f64 lambda1))) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (sin.f64 lambda1))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/24 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 4)))) (+.f64 (sin.f64 lambda1) (.f64 -1/720 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 6)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (.f64 1/24 (pow.f64 lambda2 4)))) (+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 -1/720 (pow.f64 lambda2 6)))))
(+.f64 (.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) 1)) (.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (*.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 1/24 (pow.f64 lambda2 4))))))
(.f64 (sin.f64 lambda1) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 1/24 (pow.f64 lambda2 4))) (+.f64 1 (.f64 -1/720 (pow.f64 lambda2 6)))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))
(+.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 0)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(+.f64 0 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(-.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 0)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(-.f64 0 (*.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda1))))
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(-.f64 (/.f64 (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1)) 2) (/.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1)) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1))) 2)
(-.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) -1/2) (+.f64 lambda1 lambda2))) 2) (/.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) 2))
(/.f64 (-.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (*.f64 -1/2 (PI.f64))))) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (-.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 (+.f64 (*.f64 -1/2 (PI.f64)) lambda2)))) -2)
(/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (+.f64 lambda2 (*.f64 -1/2 (PI.f64)))))) 2)
(/.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(/.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) 2)) 2)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(/.f64 (*.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda1))) -1)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(/.f64 (.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) -2) -2)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1)) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda2) lambda1))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) -1/2) (+.f64 lambda1 lambda2))) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (*.f64 -1/2 (PI.f64))))) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (-.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 (+.f64 (*.f64 -1/2 (PI.f64)) lambda2)))) -2)
(/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (+.f64 lambda2 (*.f64 -1/2 (PI.f64)))))) 2)
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) -2)) 2)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda1 lambda2))) (cos.f64 (-.f64 (+.f64 lambda1 (.f64 (PI.f64) -1/2)) lambda2))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 -1/2 (PI.f64))))) (cos.f64 (-.f64 (+.f64 lambda1 (.f64 -1/2 (PI.f64))) lambda2))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 lambda1 (+.f64 (.f64 -1/2 (PI.f64)) lambda2))) (cos.f64 (-.f64 (+.f64 lambda1 (.f64 -1/2 (PI.f64))) lambda2))) 2)
(.f64 (cos.f64 lambda2) (cos.f64 (+.f64 lambda1 (.f64 -1/2 (PI.f64)))))
(/.f64 (.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (cos.f64 0)) 1)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1)
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
(neg.f64 (*.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda1))))
(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))

eval383.0ms (1.3%)

Compiler: Compiled 42168 to 12847 computations (69.5% saved)

prune486.0ms (1.7%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1254	26	1280
Fresh	12	3	15
Picked	1	0	1
Done	3	1	4
Total	1270	30	1300

Error

0.2b

Counts

1300 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	4.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	18.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (*.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	10.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	27.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) 2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	13.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) 2)) (sin.f64 (+.f64 lambda2 lambda1)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	13.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
▶	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (+.f64 lambda1 (.f64 -1/2 (PI.f64))))) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	13.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	1.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	16.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	13.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2)))) (cos.f64 phi1))))
	20.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) (cos.f64 phi1))))
	13.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1))))
	13.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))))
	14.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	20.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (sin.f64 (-.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64))))) (cos.f64 phi1))))
✓	13.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
▶	20.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	20.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1))))
	15.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))) (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))))))
	13.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
▶	14.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 -1/2 (pow.f64 phi1 2))))))
▶	15.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	15.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	28.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	27.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (.f64 1/2 (PI.f64))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	14.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))

Compiler

Compiled 1691 to 1128 computations (33.3% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
	0.7b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

Compiler

Compiled 173 to 21 computations (87.9% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	-inf	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
0.0ms	phi2	@	0	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
0.0ms	lambda2	@	-inf	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
0.0ms	phi2	@	inf	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
0.0ms	lambda1	@	inf	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational_best-1`
1228×	`rational_best-4`
1228×	`rational_best-2`
1228×	`rational_best-3`
1228×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	168	105
2	399	105
3	1035	105
4	2908	85

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 1)))))

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational_best-simplify-1`
1194×	`rational_best-simplify-53`
856×	`rational_best-simplify-2`
778×	`trig-simplify-11`
664×	`rational_best-simplify-48`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	5635
1	96	5635
2	195	5635
3	406	5635
4	855	5635
5	2295	4675
6	5504	4675
7	7237	4675

Stop Event

1×	node limit

Counts

55 → 12

Calls

Call 1

Inputs
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 0)
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 0)
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 1)
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 1)
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 1)

Outputs
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
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(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
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(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
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(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (/.f64 (PI.f64) 2) lambda2))))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (*.f64 1/2 (PI.f64)) lambda2)))))))
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2)))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (-.f64 (.f64 1/2 (PI.f64)) lambda2))))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.7b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
	2.0b	(cos.f64 (-.f64 lambda2 lambda1))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 67 to 20 computations (70.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	lambda2	@	0	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
0.0ms	lambda1	@	0	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
0.0ms	lambda2	@	-inf	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
0.0ms	lambda1	@	-inf	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
0.0ms	lambda2	@	inf	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational_best-1`
1390×	`rational_best-4`
1390×	`rational_best-2`
1390×	`rational_best-3`
1390×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	56	17
2	92	17
3	172	17
4	380	17
5	1034	17
6	3440	17

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)

Outputs

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

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1556×	`rational_best-simplify-52`
1512×	`rational_best-simplify-54`
1192×	`rational_best-simplify-1`
766×	`rational_best-simplify-47`
690×	`rational_best-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	71	801
1	158	795
2	263	795
3	416	781
4	681	771
5	1262	731
6	3015	731
7	7247	731

Stop Event

1×	node limit

Counts

31 → 48

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
✓	0.6b	(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 70 to 20 computations (71.4% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

15 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`rational_best-simplify-2`
1248×	`rational_best-simplify-55`
878×	`rational_best-simplify-50`
858×	`rational_best-simplify-51`
718×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	108	68
2	252	68
3	596	68
4	1544	68
5	5773	68

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-53`
894×	`rational_best-simplify-2`
822×	`rational_best-simplify-44`
760×	`rational_best-simplify-1`
640×	`rational_best-simplify-48`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	90	1448
1	196	1418
2	363	1418
3	598	1378
4	982	1358
5	1832	1302
6	4588	1290

Stop Event

1×	node limit

Counts

32 → 69

Calls

Call 1

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

Outputs
(+.f64 1 (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 1 (cos.f64 lambda2)))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (pow.f64 phi2 2) (.f64 -1/2 (cos.f64 lambda2))))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2))))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 lambda2) -1/2)))
(+.f64 1 (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 lambda2) -1/2))))
(+.f64 1 (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 1 (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2))))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 (cos.f64 lambda2))) (+.f64 1 (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi2 4))))))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 lambda2) -1/2)) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 1 (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 1 (.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi2 6) (cos.f64 lambda2))) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2)))))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 (cos.f64 lambda2))) (+.f64 1 (+.f64 (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi2 4))) (+.f64 (cos.f64 lambda2) (.f64 -1/720 (.f64 (cos.f64 lambda2) (pow.f64 phi2 6)))))))
(+.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 -1/720 (pow.f64 phi2 6))))) (+.f64 1 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (cos.f64 lambda2) (.f64 -1/720 (pow.f64 phi2 6)))) (+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 lambda2) -1/2))))
(+.f64 (+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 lambda2) -1/2))) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (*.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (cos.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 1 (.f64 (cos.f64 lambda2) (+.f64 1 (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))))))
(+.f64 1 (.f64 (cos.f64 lambda2) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (.f64 -1/2 (pow.f64 phi2 2)))))))
(+.f64 1 (cos.f64 phi2))
(+.f64 1 (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2)))))
(+.f64 1 (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)))))
(+.f64 1 (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))))
(+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) 1)))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))) (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))))))
(+.f64 (+.f64 1 (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 (cos.f64 phi2) (.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))) (+.f64 1 (cos.f64 phi2))))
(+.f64 1 (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (*.f64 1/24 (pow.f64 lambda2 4))))))
(+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (*.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (*.f64 1/24 (pow.f64 lambda2 4))) 1)))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))) (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 lambda2 6)))))))
(+.f64 (+.f64 1 (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 1/24 (pow.f64 lambda2 4))) (+.f64 (.f64 (cos.f64 phi2) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 lambda2 6))))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))) (+.f64 (cos.f64 phi2) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))) (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 lambda2 6)))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 1/24 (pow.f64 lambda2 4)))) (.f64 -1/720 (*.f64 (cos.f64 phi2) (pow.f64 lambda2 6))))))
(+.f64 (cos.f64 phi2) (+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 1/24 (pow.f64 lambda2 4)))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (.f64 1/24 (pow.f64 lambda2 4)))))))
(+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (.f64 1/24 (pow.f64 lambda2 4)))) 1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1))))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1))))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1))))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 -1 lambda1))))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(-.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) -1)
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(.f64 1 (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(.f64 (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(.f64 (+.f64 2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) 2))) 1/2)
(.f64 (+.f64 2 (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 2))) 1/2)
(.f64 (+.f64 2 (.f64 (cos.f64 lambda2) (*.f64 2 (cos.f64 phi2)))) 1/2)
(.f64 (+.f64 2 (.f64 2 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 1/2)
(.f64 1/2 (+.f64 2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) 2))))
(.f64 (+.f64 2 (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) 2))) 1/2)
(.f64 (+.f64 2 (.f64 (cos.f64 lambda2) (*.f64 2 (cos.f64 phi2)))) 1/2)
(.f64 (+.f64 2 (.f64 2 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))) 1/2)
(/.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(/.f64 (+.f64 2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) 2))) 2)
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(pow.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(pow.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1)))) (+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 phi2))))

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(*.f64 -1/2 (pow.f64 phi1 2))
✓	0.3b	(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 118 to 49 computations (58.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	phi2	@	inf	(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
0.0ms	phi1	@	inf	(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
0.0ms	phi2	@	0	(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
0.0ms	lambda2	@	inf	(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
0.0ms	phi1	@	0	(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-simplify-46`
1156×	`rational_best-simplify-49`
988×	`rational_best-2`
988×	`rational_best-1`
986×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	120	56
2	225	56
3	394	56
4	895	52
5	2628	52

Stop Event

1×	node limit

Counts

2 → 11

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best-simplify-1`
748×	`rational_best-simplify-54`
714×	`rational_best-simplify-52`
708×	`rational_best-simplify-2`
526×	`rational_best-simplify-50`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	88	2057
1	209	2039
2	406	2021
3	760	1999
4	1049	1995
5	1410	1867
6	3575	1831
7	4473	1831
8	5382	1831
9	6389	1831

Stop Event

1×	node limit

Counts

47 → 69

Calls

Call 1

Inputs
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 (neg.f64 lambda2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2)))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2))))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/720 (*.f64 (pow.f64 phi2 6) (cos.f64 (neg.f64 lambda2)))))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (cos.f64 phi2) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 phi2))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (*.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (*.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(*.f64 -1/2 (pow.f64 phi1 2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(*.f64 -1/2 (pow.f64 phi1 2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (pow.f64 phi1 2))) -1)
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2)))) 0)
(.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi1 2)))))
(.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi1 2)))) 1)
(/.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2)))) 1)
(pow.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2)))) 1)
(+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 phi1 2)))
(-.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 0)
(/.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 1)

Outputs
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 (neg.f64 lambda2))))
(+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 lambda2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2)))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2)))) (+.f64 1 (cos.f64 (neg.f64 lambda2))))
(+.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))))
(+.f64 1 (+.f64 (cos.f64 lambda2) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (*.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2))))))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))) (+.f64 1 (.f64 1/24 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 4)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 phi2 2))))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 (+.f64 (cos.f64 lambda2) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2))))) (+.f64 1 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 1 (+.f64 (+.f64 (cos.f64 lambda2) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (pow.f64 phi2 2))))) (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/720 (*.f64 (pow.f64 phi2 6) (cos.f64 (neg.f64 lambda2)))))))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 4))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))) (.f64 -1/720 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 6))))))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/720 (pow.f64 phi2 6))) (cos.f64 (neg.f64 lambda2))))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 1/24 (pow.f64 phi2 4)))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/720 (pow.f64 phi2 6))) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (.f64 -1/2 (pow.f64 phi2 2)))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 -1/720 (pow.f64 phi2 6)))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 -1/720 (pow.f64 phi2 6))))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 -1/720 (pow.f64 phi2 6))))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 -1/720 (pow.f64 phi2 6))) (cos.f64 0))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (cos.f64 phi2) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 phi2)))
(+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 1 (cos.f64 phi2)))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 phi2))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 lambda2 2))))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)) (pow.f64 phi1 2))) 1))
(+.f64 1 (+.f64 (cos.f64 phi2) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))))))
(+.f64 (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)))) (+.f64 1 (cos.f64 phi2)))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (*.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))) (.f64 1/24 (*.f64 (cos.f64 phi2) (pow.f64 lambda2 4)))))))
(+.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)) (pow.f64 phi1 2))) (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4)))) (+.f64 1 (cos.f64 phi2)))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)))) (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (.f64 1/24 (pow.f64 lambda2 4)))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (.f64 -1/2 (pow.f64 lambda2 2)))))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (cos.f64 phi2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/24 (pow.f64 lambda2 4)) (.f64 -1/2 (pow.f64 lambda2 2))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (*.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))) (.f64 -1/720 (*.f64 (cos.f64 phi2) (pow.f64 lambda2 6))))))))
(+.f64 (cos.f64 phi2) (+.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)) (pow.f64 phi1 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))) (.f64 (cos.f64 phi2) (.f64 -1/720 (pow.f64 lambda2 6))))) 1))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 lambda2 4))) (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 lambda2 6)))))))
(+.f64 (+.f64 1 (+.f64 (cos.f64 phi2) (.f64 -1/2 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 lambda2 2)))))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (*.f64 1/24 (pow.f64 lambda2 4)))))
(+.f64 1 (+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/720 (pow.f64 lambda2 6)) (*.f64 1/24 (pow.f64 lambda2 4))))))))
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(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
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(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
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(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(+.f64 1 (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))
(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 1 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(*.f64 -1/2 (pow.f64 phi1 2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(*.f64 -1/2 (pow.f64 phi1 2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (pow.f64 phi1 2))) -1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2)))) 0)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi1 2)))) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(/.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2)))) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(pow.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2)))) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 lambda2) (cos.f64 phi2))))
(+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 0)
(*.f64 -1/2 (pow.f64 phi1 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 phi1 2)))
(*.f64 -1/2 (pow.f64 phi1 2))
(-.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 0)
(*.f64 -1/2 (pow.f64 phi1 2))
(/.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 1)
(*.f64 -1/2 (pow.f64 phi1 2))
(pow.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 1)
(*.f64 -1/2 (pow.f64 phi1 2))

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
	2.0b	(cos.f64 (-.f64 lambda2 lambda1))
✓	2.0b	(cos.f64 (+.f64 lambda2 lambda1))
✓	2.1b	(sin.f64 (+.f64 lambda2 lambda1))

Compiler

Compiled 170 to 71 computations (58.2% saved)

series6.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	0	(sin.f64 (+.f64 lambda2 lambda1))
0.0ms	lambda2	@	0	(cos.f64 (+.f64 lambda2 lambda1))
0.0ms	lambda1	@	0	(sin.f64 (+.f64 lambda2 lambda1))
0.0ms	lambda1	@	0	(cos.f64 (+.f64 lambda2 lambda1))
0.0ms	lambda1	@	-inf	(sin.f64 (+.f64 lambda2 lambda1))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`rational_best-1`
1832×	`rational_best-4`
1832×	`rational_best-2`
1832×	`rational_best-3`
1828×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	67	22
2	196	22
3	471	22
4	1459	22
5	4677	22

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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

simplify138.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational_best-simplify-2`
792×	`rational_best-simplify-51`
534×	`trig-simplify-11`
528×	`rational_best-simplify-1`
522×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	3941
1	704	3875
2	1474	3383
3	3997	3369
4	6200	3369

Stop Event

1×	node limit

Counts

145 → 201

Calls

Call 1

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

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

eval611.0ms (2.2%)

Compiler: Compiled 49446 to 19899 computations (59.8% saved)

prune1.2s (4.3%)

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	1355	24	1379
Fresh	4	20	24
Picked	1	0	1
Done	3	2	5
Total	1363	46	1409

Error

0.2b

Counts

1409 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	21.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
▶	4.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	16.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 -1/2 (pow.f64 phi1 2))))))
	17.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	18.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (*.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	23.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (*.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	10.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	27.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) 2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	13.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) 2)) (sin.f64 (+.f64 lambda2 lambda1)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	13.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)))))
	13.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
✓	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
	24.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))) (.f64 (sin.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (+.f64 lambda1 (.f64 -1/2 (PI.f64))))) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	26.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 (PI.f64) -1/2)))) 2) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	13.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda1 -2)))) (cos.f64 phi1))))
	1.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	14.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2))))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	16.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	13.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2)))) (cos.f64 phi1))))
	20.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2)))) 1)))
▶	24.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (.f64 (PI.f64) 1/2))))) 1)))
	20.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) 1)))
	13.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))))
	14.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	23.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (sin.f64 (-.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64))))) 1)))
	24.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 (PI.f64) 1/2) lambda1))) 1)))
✓	13.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	20.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 phi1))))
	15.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
▶	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))) (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))))))
▶	13.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	21.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 lambda2) 1)))
	22.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))
	24.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 lambda1))))
	26.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
	15.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	28.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	29.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	27.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (.f64 1/2 (PI.f64))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
▶	21.7b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	14.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	22.0b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))

Compiler

Compiled 2571 to 1731 computations (32.7% saved)

localize135.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))
✓	2.2b	(sin.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64))))
✓	2.2b	(cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))
✓	30.2b	(cos.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64))))

Compiler

Compiled 268 to 103 computations (61.6% saved)

series3.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Expression
0.0ms	lambda1	@	(cos.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64))))
0.0ms	lambda2	@	(cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))
0.0ms	lambda1	@	(cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))
0.0ms	lambda2	@	(sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))
0.0ms	lambda1	@	(sin.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64))))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2062×	`rational_best-1`
2056×	`rational_best-2`
2052×	`rational_best-4`
2052×	`rational_best-3`
662×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	116	72
2	285	64
3	675	48
4	1955	48
5	5471	48

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

Inputs
(cos.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))
(sin.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64))))
(sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))

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

simplify161.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best-simplify-1`
976×	`rational_best-simplify-2`
936×	`rational_best-simplify-49`
790×	`rational_best-simplify-43`
784×	`rational_best-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	513	8145
1	1203	7911
2	3031	7689
3	7556	7607

Stop Event

1×	node limit

Counts

257 → 337

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
	0.7b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
	2.0b	(cos.f64 (-.f64 lambda2 lambda1))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 51 to 18 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	0	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
0.0ms	lambda1	@	-inf	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
0.0ms	lambda2	@	-inf	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
0.0ms	lambda1	@	inf	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
0.0ms	lambda2	@	inf	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`rational_best-1`
1394×	`rational_best-4`
1394×	`rational_best-2`
1394×	`rational_best-3`
1394×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	80	33
2	162	33
3	358	33
4	965	33
5	3488	33

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))

Outputs

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

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best-simplify-53`
918×	`rational_best-simplify-43`
736×	`rational_best-simplify-1`
684×	`rational_best-simplify-47`
654×	`rational_best-simplify-48`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	38	1151
1	79	1119
2	114	1119
3	192	1119
4	355	1119
5	791	1119
6	2365	1087
7	5696	1087

Stop Event

1×	node limit

Counts

31 → 16

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(*.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(pow.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)

Outputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (.f64 lambda2 -1))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (neg.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (.f64 lambda2 -1))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (neg.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (.f64 lambda2 -1))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (neg.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (.f64 lambda2 -1))))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (neg.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(pow.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
✓	0.6b	(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 61 to 13 computations (78.7% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	lambda2	@	0	(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
0.0ms	phi1	@	0	(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
0.0ms	lambda2	@	-inf	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
0.0ms	phi2	@	0	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
0.0ms	lambda1	@	-inf	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`rational_best-simplify-2`
988×	`rational_best-simplify-54`
924×	`rational_best-simplify-55`
838×	`rational_best-simplify-52`
726×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	100	56
2	210	56
3	512	56
4	1349	56
5	4698	56

Stop Event

1×	node limit

Counts

2 → 14

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)))))

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1732×	`rational_best-simplify-54`
1624×	`rational_best-simplify-52`
1318×	`rational_best-simplify-1`
764×	`rational_best-simplify-53`
486×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	76	1150
1	144	1120
2	248	1120
3	439	1120
4	748	1120
5	1442	1076
6	3706	1076

Stop Event

1×	node limit

Counts

30 → 58

Calls

Call 1

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

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

localize189.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))
✓	0.1b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
✓	0.2b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))
	0.7b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))

Compiler

Compiled 75 to 14 computations (81.3% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

21 calls:

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

rewrite209.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational_best-1`
1562×	`rational_best-4`
1562×	`rational_best-2`
1562×	`rational_best-3`
1562×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	111	91
2	259	91
3	560	91
4	1352	83
5	4449	83

Stop Event

1×	node limit

Counts

3 → 20

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)))))

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

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

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1664×	`rational_best-simplify-54`
1562×	`rational_best-simplify-52`
1528×	`rational_best-simplify-49`
1458×	`rational_best-simplify-46`
684×	`rational_best-simplify-48`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	135	3758
1	283	3750
2	453	3722
3	659	3620
4	1060	3350
5	2935	3340

Stop Event

1×	node limit

Counts

92 → 97

Calls

Call 1

Inputs
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(.f64 -1 (.f64 lambda2 (cos.f64 phi2)))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 phi2))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 phi2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (.f64 -1/120 (.f64 (pow.f64 lambda2 5) (cos.f64 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 phi2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 lambda2 7) (cos.f64 phi2))) (.f64 -1/120 (.f64 (pow.f64 lambda2 5) (cos.f64 phi2))))))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(sin.f64 (neg.f64 lambda2))
(+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))
(+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 2)))))
(+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 4))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 6))) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 (neg.f64 lambda2)))) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 (neg.f64 lambda2)))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/720 (.f64 (pow.f64 phi2 6) (cos.f64 (neg.f64 lambda2)))))))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(+.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(+.f64 0 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(-.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(.f64 1 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(/.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(pow.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(+.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 0)
(+.f64 0 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)))
(-.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 0)
(/.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 lambda2) phi2)) (sin.f64 (-.f64 phi2 lambda2))) 2)
(pow.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 1)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 0)
(+.f64 0 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(-.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 0)
(/.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) 2)) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 lambda2 phi2)) (cos.f64 (-.f64 lambda2 phi2))) 2)
(pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 1)

Outputs
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1 lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
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(.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(.f64 1 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(/.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(pow.f64 (atan2.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 0)
(*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2)))
(+.f64 0 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)))
(*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2)))
(-.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 0)
(*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2)))
(/.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 1)
(*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2)))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 lambda2) phi2)) (sin.f64 (-.f64 phi2 lambda2))) 2)
(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
(pow.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 phi2)) 1)
(*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 0)
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(+.f64 0 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(-.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 0)
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(/.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 1)
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) 2)) 2)
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(/.f64 (+.f64 (cos.f64 (+.f64 lambda2 phi2)) (cos.f64 (-.f64 lambda2 phi2))) 2)
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
(pow.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 1)
(*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))
(*.f64 (cos.f64 phi2) (cos.f64 lambda2))

localize492.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
✓	0.6b	(+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 (PI.f64) 1/2))))) 1)
	2.1b	(sin.f64 (-.f64 lambda1 lambda2))
✓	2.4b	(sin.f64 (+.f64 lambda2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 152 to 63 computations (58.6% saved)

series5.0ms (0%)

Counts

3 → 44

Calls

15 calls:

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

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational_best-simplify-46`
1246×	`rational_best-simplify-49`
856×	`rational_best-1`
854×	`rational_best-2`
852×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	151	93
2	388	77
3	974	61
4	2597	61

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

(sin.f64 (+.f64 lambda2 (*.f64 (PI.f64) 1/2)))

(+.f64 (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 (PI.f64) 1/2))))) 1)

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

Outputs

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

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

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

simplify517.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational_best-simplify-2`
1128×	`rational_best-simplify-1`
1046×	`rational_best-simplify-49`
884×	`rational_best-simplify-46`
706×	`rational_best-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	335	5192
1	738	5020
2	1538	4900
3	3584	4846

Stop Event

1×	node limit

Counts

140 → 212

Calls

Call 1

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

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

eval1.0s (3.6%)

Compiler: Compiled 46081 to 19616 computations (57.4% saved)

prune953.0ms (3.4%)

Pruning

51 alts after pruning (49 fresh and 2 done)

	Pruned	Kept	Total
New	1276	25	1301
Fresh	15	24	39
Picked	1	0	1
Done	4	2	6
Total	1296	51	1347

Error

0.2b

Counts

1347 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	24.2b	(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	28.6b	(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (*.f64 (PI.f64) -1/2) lambda2)))) 2) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	24.9b	(+.f64 lambda1 (atan2.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))) (.f64 (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	25.6b	(+.f64 lambda1 (atan2.f64 (+.f64 (sin.f64 lambda1) (*.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	21.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	4.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))))
	19.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	15.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	16.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 -1/2 (pow.f64 phi1 2))))))
	17.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	20.6b	(+.f64 lambda1 (atan2.f64 (.f64 (neg.f64 lambda2) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	10.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2)))) (+.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 (-.f64 (.f64 (PI.f64) -1/2) lambda2))))) -2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	13.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) 2)) (sin.f64 (+.f64 lambda2 lambda1)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	13.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)))))
✓	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
	13.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (+.f64 lambda1 (.f64 -1/2 (PI.f64))))) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	26.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 (PI.f64) -1/2)))) 2) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	13.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda1 -2)))) (cos.f64 phi1))))
	1.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	14.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2))))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	13.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (*.f64 lambda2 -2)))) (cos.f64 phi1))))
	13.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))))
	14.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	23.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (sin.f64 (-.f64 lambda1 (-.f64 lambda2 (.f64 1/2 (PI.f64))))) 1)))
	24.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) lambda2)) 1)))
✓	13.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	15.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
	0.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))) (sin.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 (+.f64 lambda1 (.f64 1/2 (PI.f64)))) (-.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda2)) (cos.f64 (+.f64 lambda1 (+.f64 lambda1 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 (+.f64 lambda1 lambda2))) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 lambda2 -2)))))))))))
	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1))) (cos.f64 lambda1)) (.f64 (cos.f64 (+.f64 lambda1 (*.f64 1/2 (PI.f64)))) (sin.f64 (-.f64 lambda2 (+.f64 lambda1 lambda1)))))))))
	21.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 lambda2) 1)))
	22.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))
	21.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))
	26.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 -1/2 (pow.f64 phi1 2))))
	15.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	28.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	29.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	28.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (.f64 1/2 (PI.f64))))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	21.9b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (.f64 lambda2 -2)))) 1)))
	25.0b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 (PI.f64) 1/2))))) 1)))
	21.7b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) 1)))
	24.9b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 (-.f64 lambda1 (-.f64 lambda2 (*.f64 1/2 (PI.f64))))) 1)))
	14.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	22.0b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))
	22.0b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	25.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 lambda1))))
	22.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	15.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	29.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	28.7b	(+.f64 lambda1 (atan2.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (*.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))

Compiler

Compiled 1368 to 927 computations (32.2% saved)

regimes1.2s (4.4%)

Counts

96 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

392.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
230.0ms	phi1
226.0ms	lambda2
51.0ms	phi2
39.0ms	lambda1

Results

Error	Segments	Branch
0.2b	1	`lambda1`
0.2b	1	`lambda2`
0.2b	1	`phi1`
0.2b	1	`phi2`
0.2b	1	`(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))`
0.2b	1	`(cos.f64 phi2)`
0.2b	1	`(cos.f64 phi1)`

Compiler

Compiled 2393 to 826 computations (65.5% saved)

regimes333.0ms (1.2%)

Counts

94 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

46.0ms	lambda2
44.0ms	phi1
43.0ms	lambda1
41.0ms	phi2
39.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Results

Error	Segments	Branch
0.4b	1	`lambda1`
0.4b	1	`lambda2`
0.4b	1	`phi1`
0.4b	1	`phi2`
0.4b	1	`(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))`
0.4b	1	`(cos.f64 phi2)`
0.4b	1	`(cos.f64 phi1)`

Compiler

Compiled 2295 to 795 computations (65.4% saved)

regimes667.0ms (2.3%)

Counts

74 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

234.0ms	phi2
160.0ms	phi1
125.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
34.0ms	lambda2
33.0ms	lambda1

Results

Error	Segments	Branch
0.5b	1	`lambda1`
0.5b	1	`lambda2`
0.5b	1	`phi1`
0.5b	1	`phi2`
0.5b	1	`(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))`
0.5b	1	`(cos.f64 phi2)`
0.5b	1	`(cos.f64 phi1)`

Compiler

Compiled 1553 to 536 computations (65.5% saved)

regimes220.0ms (0.8%)

Counts

67 → 1

Calls

Call 1

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

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

Calls

7 calls:

33.0ms	phi2
28.0ms	phi1
28.0ms	lambda2
28.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
27.0ms	lambda1

Results

Error	Segments	Branch
0.5b	1	`lambda1`
0.5b	1	`lambda2`
0.5b	1	`phi1`
0.5b	1	`phi2`
0.5b	1	`(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))`
0.5b	1	`(cos.f64 phi2)`
0.5b	1	`(cos.f64 phi1)`

Compiler

Compiled 1326 to 443 computations (66.6% saved)

regimes128.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	lambda1
21.0ms	phi1
20.0ms	lambda2
19.0ms	phi2
17.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
1.0b	1	`lambda1`
1.0b	1	`lambda2`
1.0b	1	`phi1`
1.0b	1	`phi2`
1.0b	1	`(cos.f64 phi2)`
1.0b	1	`(cos.f64 phi1)`

Compiler

Compiled 761 to 259 computations (66% saved)

regimes256.0ms (0.9%)

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

51.0ms	phi2
50.0ms	phi1
50.0ms	lambda2
34.0ms	lambda1
31.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
3.7b	2	`lambda1`
0.5b	3	`lambda2`
2.4b	3	`phi1`
2.8b	3	`phi2`
2.8b	2	`(cos.f64 phi2)`
2.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 722 to 249 computations (65.5% saved)

bsearch173.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	2.853999665298265e-117	2.600122522967777e-109
87.0ms	-1.1659477665802576e-6	-7.125325857940575e-16

Results

116.0ms	145×	body	1024	valid
33.0ms	70×	body	512	valid
19.0ms	73×	body	256	valid

Compiler

Compiled 841 to 560 computations (33.4% saved)

regimes237.0ms (0.8%)

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

49.0ms	lambda2
47.0ms	phi1
46.0ms	phi2
31.0ms	lambda1
26.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
3.7b	2	`lambda1`
1.0b	3	`lambda2`
2.4b	3	`phi1`
2.8b	3	`phi2`
2.8b	2	`(cos.f64 phi2)`
2.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 667 to 236 computations (64.6% saved)

bsearch107.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	2.853999665298265e-117	2.600122522967777e-109
26.0ms	-1.1659477665802576e-6	-7.125325857940575e-16

Results

67.0ms	86×	body	1024	valid
20.0ms	42×	body	512	valid
17.0ms	64×	body	256	valid

Compiler

Compiled 535 to 356 computations (33.5% saved)

regimes566.0ms (2%)

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

48.0ms	(cos.f64 phi1)
45.0ms	phi1
45.0ms	lambda2
44.0ms	lambda1
44.0ms	phi2

Results

Error	Segments	Branch
11.9b	3	`lambda1`
7.9b	3	`lambda2`
7.9b	3	`phi1`
7.3b	3	`phi2`
7.6b	2	`(cos.f64 phi2)`
6.8b	3	`(cos.f64 phi1)`

Compiler

Compiled 632 to 231 computations (63.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999357570956	0.9999999409889371
0.0ms	-0.4086589017321051	-0.4007964151781555

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes514.0ms (1.8%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

258.0ms	phi2
46.0ms	lambda2
42.0ms	lambda1
41.0ms	phi1
34.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
11.9b	3	`lambda1`
7.9b	3	`lambda2`
8.1b	3	`phi1`
7.3b	3	`phi2`
7.6b	2	`(cos.f64 phi2)`
7.1b	3	`(cos.f64 phi1)`

Compiler

Compiled 529 to 189 computations (64.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999357570956	0.9999999409889371
0.0ms	-0.4086589017321051	-0.4007964151781555

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes372.0ms (1.3%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

6 calls:

163.0ms	lambda2
66.0ms	phi2
40.0ms	phi1
37.0ms	lambda1
35.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
12.3b	3	`lambda1`
8.0b	3	`lambda2`
10.1b	3	`phi1`
7.1b	5	`phi2`
8.1b	2	`(cos.f64 phi2)`
9.0b	3	`(cos.f64 phi1)`

Compiler

Compiled 460 to 172 computations (62.6% saved)

bsearch1.8s (6.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
272.0ms	6.459345017535577e-32	1.8246514055328282e-26
89.0ms	-3.7178297329563493e-10	-5.503467949206527e-21
1.2s	-5.309595166029073e+47	-9.72993517538153e+46
238.0ms	-7.387191159810612e+86	-1.959658993750784e+84

Results

868.0ms	10×	body	2048	valid
508.0ms	196×	body	1024	valid
386.0ms	146×	body	512	valid
46.0ms	176×	body	256	valid

Compiler

Compiled 1308 to 887 computations (32.2% saved)

regimes191.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

42.0ms	lambda2
36.0ms	phi2
35.0ms	(cos.f64 phi1)
35.0ms	lambda1
22.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
12.3b	3	`lambda1`
8.0b	3	`lambda2`
13.8b	1	`phi1`
8.1b	3	`phi2`
8.1b	2	`(cos.f64 phi2)`
12.0b	3	`(cos.f64 phi1)`

Compiler

Compiled 444 to 168 computations (62.2% saved)

bsearch177.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	2.2887218936192812e-10	0.0001108267985263608
88.0ms	-1.1659477665802576e-6	-7.125325857940575e-16

Results

118.0ms	144×	body	1024	valid
32.0ms	65×	body	512	valid
23.0ms	79×	body	256	valid

Compiler

Compiled 751 to 515 computations (31.4% saved)

regimes354.0ms (1.2%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

129.0ms	(cos.f64 phi2)
34.0ms	lambda2
34.0ms	lambda1
32.0ms	phi2
27.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
12.3b	3	`lambda1`
8.1b	3	`lambda2`
13.8b	1	`phi1`
8.1b	3	`phi2`
8.1b	2	`(cos.f64 phi2)`
12.0b	3	`(cos.f64 phi1)`

Compiler

Compiled 412 to 160 computations (61.2% saved)

bsearch310.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
226.0ms	2.2887218936192812e-10	0.0001108267985263608
84.0ms	-1.1659477665802576e-6	-7.125325857940575e-16

Results

159.0ms	87×	body	256	valid
112.0ms	133×	body	1024	valid
34.0ms	68×	body	512	valid

Compiler

Compiled 742 to 506 computations (31.8% saved)

regimes142.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

34.0ms	lambda2
31.0ms	phi2
31.0ms	lambda1
17.0ms	(cos.f64 phi2)
11.0ms	phi1

Results

Error	Segments	Branch
12.6b	3	`lambda1`
11.8b	3	`lambda2`
13.8b	1	`phi1`
10.2b	3	`phi2`
10.2b	2	`(cos.f64 phi2)`
13.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 381 to 156 computations (59.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9988290827684624	0.999915222767721

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes297.0ms (1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

114.0ms	phi2
97.0ms	(cos.f64 phi1)
46.0ms	lambda1
14.0ms	(cos.f64 phi2)
11.0ms	phi1

Results

Error	Segments	Branch
14.8b	1	`lambda1`
14.8b	1	`lambda2`
14.8b	1	`phi1`
11.7b	3	`phi2`
11.7b	2	`(cos.f64 phi2)`
14.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 322 to 143 computations (55.6% saved)

bsearch203.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	6.459345017535577e-32	1.8246514055328282e-26
119.0ms	-5.887890826007906e+26	-1.8195838561783462e+25

Results

141.0ms	96×	body	1024	valid
29.0ms	59×	body	512	valid
26.0ms	100×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 616 to 438 computations (28.9% saved)

regimes185.0ms (0.7%)

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

103.0ms	phi2
53.0ms	(cos.f64 phi2)
7.0ms	lambda2
7.0ms	lambda1
6.0ms	phi1

Results

Error	Segments	Branch
14.8b	1	`lambda1`
14.8b	1	`lambda2`
14.8b	1	`phi1`
12.8b	2	`phi2`
11.7b	2	`(cos.f64 phi2)`
14.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 190 to 91 computations (52.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.8941770219631676	0.9030480185739127

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes46.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

13.0ms	(cos.f64 phi2)
7.0ms	phi1
7.0ms	lambda1
6.0ms	phi2
6.0ms	lambda2

Results

Error	Segments	Branch
14.8b	1	`lambda1`
14.8b	1	`lambda2`
14.8b	1	`phi1`
14.8b	1	`phi2`
13.8b	2	`(cos.f64 phi2)`
14.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 162 to 83 computations (48.8% saved)

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	0.09790900957188585	0.1464749794569392

Results

14.0ms	18×	body	1024	valid
8.0ms	19×	body	512	valid
6.0ms	27×	body	256	valid

Compiler

Compiled 170 to 120 computations (29.4% saved)

regimes44.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

12.0ms	(cos.f64 phi2)
6.0ms	phi1
5.0ms	phi2
5.0ms	lambda2
5.0ms	lambda1

Results

Error	Segments	Branch
14.8b	1	`lambda1`
14.8b	1	`lambda2`
14.8b	1	`phi1`
14.8b	1	`phi2`
13.8b	2	`(cos.f64 phi2)`
14.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 148 to 79 computations (46.6% saved)

bsearch33.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	0.09790900957188585	0.1464749794569392

Results

13.0ms	19×	body	1024	valid
8.0ms	18×	body	512	valid
6.0ms	24×	body	256	valid
5.0ms	3×	body	2048	valid

Compiler

Compiled 170 to 120 computations (29.4% saved)

regimes35.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
14.8b	1	`lambda1`
14.8b	1	`lambda2`
14.8b	1	`phi1`
14.8b	1	`phi2`
14.8b	1	`(cos.f64 phi2)`
14.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 134 to 74 computations (44.8% saved)

regimes19.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))

Calls

4 calls:

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

Results

Error	Segments	Branch
21.7b	1	`lambda1`
21.7b	1	`lambda2`
21.7b	1	`phi1`
21.7b	1	`phi2`

Compiler

Compiled 82 to 49 computations (40.2% saved)

regimes17.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))

Calls

4 calls:

4.0ms	lambda1
4.0ms	phi2
4.0ms	lambda2
4.0ms	phi1

Results

Error	Segments	Branch
22.0b	1	`lambda1`
22.0b	1	`lambda2`
22.0b	1	`phi1`
22.0b	1	`phi2`

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes14.0ms (0%)

Accuracy

Total -4.5b remaining (-17.6%)

Threshold costs -4.5b (-17.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 lambda1))))

Outputs
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 lambda1))))

Calls

4 calls:

3.0ms	phi1
3.0ms	phi2
3.0ms	lambda1
3.0ms	lambda2

Results

Error	Segments	Branch
25.2b	1	`lambda1`
25.2b	1	`lambda2`
25.2b	1	`phi1`
25.2b	1	`phi2`

Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) 2)) (sin.f64 (+.f64 lambda2 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
(if (<=.f64 lambda2 -944473296573929/75557863725914323419136) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))))))
(if (<=.f64 lambda2 -3022314549036573/604462909807314587353088) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))))))
(if (<=.f64 (cos.f64 phi1) -1823957849085051/4503599627370496) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))) (if (<=.f64 (cos.f64 phi1) 9007198714309037/9007199254740992) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))))
(if (<=.f64 (cos.f64 phi1) -1823957849085051/4503599627370496) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))) (if (<=.f64 (cos.f64 phi1) 9007198714309037/9007199254740992) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 phi2 -175000000000000009462118012158666567854513385153340087824865859925100918906475161583616) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 -469999999999999963816799340961135569625698795520) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 phi2 -7156840852118605/19342813113834066795298816) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 3136042293543369/174224571863520493293247799005065324265472) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(if (<=.f64 lambda2 -1357680363825023/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 6050532056176733/73786976294838206464) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(if (<=.f64 lambda2 -1357680363825023/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 3172839980678043/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 (cos.f64 phi2) 8998192055486251/9007199254740992) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 phi2 -18499999999999999421186048) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 3136042293543369/174224571863520493293247799005065324265472) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 -1/2 (pow.f64 phi1 2))))))
(if (<=.f64 (cos.f64 phi2) 8106479329266893/9007199254740992) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 (cos.f64 phi2) 5224175567749775/36028797018963968) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 (cos.f64 phi2) 7782220156096217/72057594037927936) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 lambda1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 lambda1))))
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) 2)) (sin.f64 (+.f64 lambda2 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
(if (<=.f64 lambda2 -944473296573929/75557863725914323419136) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))))))
(if (<=.f64 lambda2 -3022314549036573/604462909807314587353088) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))))))
(if (<=.f64 (cos.f64 phi1) -1823957849085051/4503599627370496) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))) (if (<=.f64 (cos.f64 phi1) 9007198714309037/9007199254740992) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)))))))
(if (<=.f64 (cos.f64 phi1) -1823957849085051/4503599627370496) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2))))) (if (<=.f64 (cos.f64 phi1) 9007198714309037/9007199254740992) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 phi2 -175000000000000009462118012158666567854513385153340087824865859925100918906475161583616) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 -469999999999999963816799340961135569625698795520) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 phi2 -7156840852118605/19342813113834066795298816) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 3136042293543369/174224571863520493293247799005065324265472) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(if (<=.f64 lambda2 -1357680363825023/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 6050532056176733/73786976294838206464) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))
(if (<=.f64 lambda2 -1357680363825023/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 3172839980678043/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 (cos.f64 phi2) 8998192055486251/9007199254740992) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 phi2 -18499999999999999421186048) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 3136042293543369/174224571863520493293247799005065324265472) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 -1/2 (pow.f64 phi1 2))))))
(if (<=.f64 (cos.f64 phi2) 8106479329266893/9007199254740992) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 (cos.f64 phi2) 5224175567749775/36028797018963968) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 (cos.f64 phi2) 7782220156096217/72057594037927936) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 lambda1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 lambda1))))
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))

Compiler

Compiled 876 to 467 computations (46.7% saved)

soundness258.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-2`
942×	`rational_best-simplify-53`
824×	`rational_best-simplify-1`
636×	`rational_best-simplify-51`
616×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	407	9537
1	982	9421
2	2419	8637
3	5428	8571

Stop Event

1×	node limit

Compiler

Compiled 180 to 45 computations (75% saved)

end175.0ms (0.6%)

Compiler: Compiled 792 to 193 computations (75.6% saved)