Details

analyze1.2s (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
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)

sample11.3s (31.1%)

Results

7.8s	4609×	body	1024	valid
2.1s	1812×	body	512	valid
910.0ms	1719×	body	256	valid
422.0ms	116×	body	2048	valid

Bogosity

preprocess199.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1616×	`rational_best_45_simplify-71`
1604×	`rational_best_45_simplify-100`
1252×	`rational_best_45_simplify-91`
1000×	`rational_best_45_simplify-37`
788×	`rational_best_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	441
1	138	441
2	374	441
3	1268	441
4	4467	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 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))))))
(+.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)

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational_best_45_simplify-84`
1220×	`rational_best_45_simplify-98`
1208×	`rational_best_45_simplify-1`
1000×	`rational_best_45_simplify-100`
900×	`rational_best_45_simplify-32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	28	63
2	65	63
3	205	63
4	818	63
5	3206	63
6	7038	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

0.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(+.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)

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 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
✓	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
✓	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series58.0ms (0.2%)

Counts

4 → 128

Calls

36 calls:

Time	Variable		Point	Expression
45.0ms	phi2	@	0	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.0ms	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	phi1	@	0	(+.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))))

rewrite263.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`rational_best_45_simplify-96`
764×	`rational_best_45_simplify-73`
560×	`rational_best_45_simplify-71`
558×	`rational_best_45_simplify-100`
532×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	92	110
2	266	110
3	1100	110
4	4895	110

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 +.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 (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 (sin.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 lambda1 lambda2)) (.f64 (.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) (neg.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (-.f64 lambda1 lambda2))))))))
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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 /.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)))) (/.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)))) (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)))) (/.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 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simplify212.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best_45_simplify-100`
1096×	`rational_best_45_simplify-98`
892×	`rational_best_45_simplify-91`
890×	`rational_best_45_simplify-37`
818×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	330	9270
1	1202	9212
2	4576	9212

Stop Event

1×	node limit

Counts

236 → 226

Calls

Call 1

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

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

eval337.0ms (0.9%)

Compiler: Compiled 8270 to 1785 computations (78.4% saved)

prune199.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	214	12	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	215	12	227

Error

0.5b

Counts

227 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	14.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 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 (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))))))
	0.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	26.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.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)))))))
▶	13.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
▶	13.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	0.8b	(+.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)))))
	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 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))))))
	0.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	0.6b	(+.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)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))))))
	14.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
▶	0.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))

Compiler

Compiled 752 to 436 computations (42% saved)

localize114.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
✓	0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 203 to 33 computations (83.7% saved)

series4.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite145.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational_best_45_simplify-35`
682×	`rational_best_45_simplify-100`
628×	`rational_best-4`
628×	`rational_best-2`
628×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	94	104
2	286	104
3	1284	104
4	5885	104

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Inputs

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

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

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

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

simplify222.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational_best_45_simplify-84`
882×	`rational_best_45_simplify-100`
862×	`rational_best_45_simplify-25`
744×	`rational_best_45_simplify-37`
714×	`rational_best_45_simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	284	9399
1	1025	9133
2	4019	9133

Stop Event

1×	node limit

Counts

187 → 153

Calls

Call 1

Inputs
(+.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 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))
(+.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 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (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))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(-.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 phi2))))
(-.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))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 0 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(-.f64 0 (neg.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(-.f64 0 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 -1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 1 (/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) -1)
(.f64 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 -1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (neg.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 -1 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
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(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 -1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) -1)
(neg.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 -1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(neg.f64 (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 -1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(neg.f64 (.f64 -1 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))

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

localize32.0ms (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 lambda1 lambda2)) (cos.f64 phi1)))
✓	0.6b	(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

21 calls:

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

rewrite191.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`rational_best_45_simplify-1`
888×	`rational_best_45_simplify-25`
658×	`rational_best_45_simplify-108`
636×	`rational_best_45_simplify-96`
608×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	83	68
2	224	68
3	875	68
4	4285	68
5	7966	68

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

simplify230.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

956×	`rational_best_45_simplify-84`
914×	`rational_best_45_simplify-98`
724×	`rational_best_45_simplify-67`
720×	`rational_best_45_simplify-1`
658×	`rational_best_45_simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	210	3774
1	712	3740
2	3034	3740
3	7813	3740

Stop Event

1×	node limit

Counts

98 → 117

Calls

Call 1

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

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

localize95.0ms (0.3%)

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 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))
✓	0.5b	(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 75 to 14 computations (81.3% saved)

series71.0ms (0.2%)

Counts

3 → 40

Calls

30 calls:

Time	Variable		Point	Expression
60.0ms	phi2	@	inf	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
1.0ms	phi2	@	inf	(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))
1.0ms	phi1	@	inf	(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))
1.0ms	lambda1	@	0	(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))
1.0ms	phi2	@	0	(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))

rewrite186.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`rational_best_45_simplify-96`
762×	`rational_best_45_simplify-73`
560×	`rational_best_45_simplify-71`
560×	`rational_best_45_simplify-100`
532×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	97
1	92	97
2	266	97
3	1095	97
4	4909	97

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify144.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1184×	`rational_best_45_simplify-84`
912×	`rational_best_45_simplify-25`
840×	`rational_best_45_simplify-100`
810×	`rational_best_45_simplify-67`
702×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	5717
1	998	5667
2	4094	5641

Stop Event

1×	node limit

Counts

129 → 185

Calls

Call 1

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
✓	0.1b	(.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
	0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 118 to 18 computations (84.7% saved)

series21.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	phi2	@	0	(.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
4.0ms	lambda1	@	inf	(.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
2.0ms	phi2	@	inf	(.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	lambda2	@	-inf	(.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))

rewrite402.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`rational_best_45_simplify-100`
748×	`rational_best-4`
748×	`rational_best-2`
748×	`rational_best-3`
748×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	104	60
2	359	60
3	1600	60
4	7199	60

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

simplify216.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational_best_45_simplify-71`
870×	`rational_best_45_simplify-100`
862×	`rational_best_45_simplify-84`
762×	`rational_best_45_simplify-37`
672×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	6594
1	1044	6532
2	3656	6420

Stop Event

1×	node limit

Counts

150 → 183

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

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

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.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))))))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))
✓	15.9b	(+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4)))

Compiler

Compiled 161 to 86 computations (46.6% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	inf	(+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4)))
0.0ms	phi1	@	inf	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.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))))))
0.0ms	phi1	@	0	(+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4)))
0.0ms	lambda1	@	-inf	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.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))))))
0.0ms	phi2	@	inf	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.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))))))

rewrite157.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`rational_best_45_simplify-1`
730×	`rational_best_45_simplify-71`
724×	`rational_best-4`
724×	`rational_best-2`
724×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	120
1	152	120
2	403	120
3	1571	120
4	6846	120

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

(+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (*.f64 1/24 (pow.f64 phi1 4)))

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

Outputs

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simplify495.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

834×	`rational_best_45_simplify-84`
776×	`rational_best_45_simplify-67`
686×	`rational_best_45_simplify-98`
652×	`rational_best_45_simplify-25`
598×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	156	8345
1	536	8313
2	2242	8313
3	6629	8313

Stop Event

1×	node limit

Counts

119 → 78

Calls

Call 1

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

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

eval1.1s (3.1%)

Compiler: Compiled 71500 to 16855 computations (76.4% saved)

prune1.6s (4.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1477	23	1500
Fresh	6	1	7
Picked	1	0	1
Done	4	0	4
Total	1488	24	1512

Error

0.5b

Counts

1512 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 (cos.f64 phi2) (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	7.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	0.8b	(+.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) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	13.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
▶	13.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi1))))
	19.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 phi2 2))))))
	13.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))
	16.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 1 (*.f64 1/24 (pow.f64 phi1 4))))))
	28.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 1/24 (*.f64 (pow.f64 phi2 4) (cos.f64 lambda1))))))))
▶	20.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	13.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi1))))
	13.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	20.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda1))))
	14.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
	21.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	13.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)) (.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)) (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))))))
▶	0.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (.f64 (cos.f64 phi1) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))))
	0.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi2))))))))
	0.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))))
	25.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	29.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
▶	25.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	21.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))

Compiler

Compiled 1430 to 808 computations (43.5% saved)

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
	0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 305 to 63 computations (79.3% saved)

series9.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite176.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best_45_simplify-1`
824×	`rational_best_45_simplify-25`
640×	`rational_best_45_simplify-108`
610×	`rational_best_45_simplify-96`
580×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	82	37
2	213	37
3	831	37
4	4076	37
5	7613	37

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify245.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`rational_best_45_simplify-1`
938×	`rational_best_45_simplify-83`
892×	`rational_best_45_simplify-84`
656×	`rational_best_45_simplify-25`
648×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	249	6200
1	785	6152
2	3059	6152
3	7562	6152

Stop Event

1×	node limit

Counts

82 → 84

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4)) (.f64 (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (pow.f64 phi1 6)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
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(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (-.f64 0 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 -1 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 -1 (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) -1)
(.f64 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(neg.f64 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(neg.f64 (.f64 -1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))

Outputs
(/.f64 1 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4)) (.f64 (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (pow.f64 phi1 6)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4)) (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)) 1/720) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) 1/48) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (pow.f64 phi1 6)))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (pow.f64 phi1 4)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 phi1 2) (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2))) (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)) 1/720) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3)) 1/48) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 2)))) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))) (pow.f64 phi1 6)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))
(+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))
(+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2)))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))
(+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (/.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 3))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))) (pow.f64 lambda1 2)))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 3))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))) (pow.f64 lambda1 2)))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (/.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2)))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 3))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))) (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (/.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2)))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2))) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 3))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (pow.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) 2)))) (neg.f64 (pow.f64 lambda1 2))))
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(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 1)
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 1 (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (-.f64 0 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 -1 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 -1 (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) -1)
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(neg.f64 (neg.f64 (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))
(neg.f64 (.f64 -1 (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.6b	(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 64 to 19 computations (70.3% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite87.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`rational_best_45_simplify-71`
934×	`rational_best_45_simplify-67`
870×	`rational_best-4`
870×	`rational_best-2`
870×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	49	17
2	107	17
3	344	17
4	1583	17

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (/.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (/.f64 0 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (*.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)) (*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)) (*.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) (/.f64 1 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simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best_45_simplify-71`
858×	`rational_best_45_simplify-73`
762×	`rational_best_45_simplify-67`
716×	`rational_best_45_simplify-99`
668×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	187	1724
1	760	1710
2	5730	1710

Stop Event

1×	node limit

Counts

82 → 93

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	0.1b	(*.f64 (cos.f64 phi2) lambda1)
	0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series5.0ms (0%)

Counts

2 → 52

Calls

18 calls:

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

rewrite111.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best_45_simplify-108`
766×	`rational_best_45_simplify-96`
730×	`rational_best_45_simplify-73`
546×	`rational_best_45_simplify-100`
540×	`rational_best_45_simplify-71`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	87	58
2	255	58
3	1054	58
4	4718	58

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

simplify203.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

890×	`rational_best_45_simplify-1`
696×	`rational_best_45_simplify-39`
642×	`rational_best_45_simplify-84`
628×	`rational_best_45_simplify-83`
618×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	5008
1	589	5000
2	2133	4944
3	5681	4944

Stop Event

1×	node limit

Counts

140 → 116

Calls

Call 1

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

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

localize38.0ms (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 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi1)))
✓	0.4b	(+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi1))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 109 to 18 computations (83.5% saved)

series10.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite139.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`rational_best_45_simplify-73`
716×	`rational_best_45_simplify-71`
704×	`rational_best_45_simplify-100`
676×	`rational_best-4`
676×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	121	112
2	356	104
3	1469	104
4	6218	104

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs

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

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

Outputs

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

simplify250.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

878×	`rational_best_45_simplify-84`
784×	`rational_best_45_simplify-98`
764×	`rational_best_45_simplify-25`
740×	`rational_best_45_simplify-80`
698×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	167	7937
1	576	7721
2	2813	7721
3	7354	7721

Stop Event

1×	node limit

Counts

139 → 96

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(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) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	0.1b	(.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
✓	0.1b	(*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))
✓	0.3b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))

Compiler

Compiled 153 to 19 computations (87.6% saved)

series23.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
9.0ms	lambda2	@	-inf	(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) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
4.0ms	phi1	@	-inf	(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) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
1.0ms	lambda1	@	0	(*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))
1.0ms	lambda2	@	0	(*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))
1.0ms	phi2	@	inf	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational_best-4`
1062×	`rational_best-2`
1062×	`rational_best-3`
1062×	`rational_best-1`
1038×	`rational_best_45_simplify-71`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	169
1	142	169
2	505	161
3	2315	161

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 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simplify817.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

976×	`rational_best_45_simplify-84`
766×	`rational_best_45_simplify-98`
712×	`rational_best_45_simplify-67`
674×	`rational_best_45_simplify-25`
658×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	243	12044
1	885	12040
2	3340	12040

Stop Event

1×	node limit

Counts

188 → 140

Calls

Call 1

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

eval1.5s (4.2%)

Compiler: Compiled 93619 to 22361 computations (76.1% saved)

prune1.0s (2.8%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	1662	17	1679
Fresh	5	14	19
Picked	1	0	1
Done	4	0	4
Total	1672	31	1703

Error

0.5b

Counts

1703 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 (cos.f64 phi2) (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	14.2b	(+.f64 lambda1 (atan2.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	21.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	7.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	13.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.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)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi1))))
	14.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	13.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	19.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 phi2 2))))))
▶	20.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) 1)))
	16.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 1 (*.f64 1/24 (pow.f64 phi1 4))))))
	28.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 1/24 (*.f64 (pow.f64 phi2 4) (cos.f64 lambda1))))))))
	13.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi1))))
	13.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	21.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 lambda2 lambda1)))))
▶	14.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
	21.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	21.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))
	13.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (.f64 (cos.f64 phi1) (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))))
▶	0.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))))
▶	30.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
	25.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	31.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	25.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	30.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) lambda1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	30.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
	25.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
	14.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi1))))
	21.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
▶	20.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	29.6b	(+.f64 lambda1 (atan2.f64 lambda1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 1684 to 992 computations (41.1% saved)

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (cos.f64 phi1) (.f64 (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))
	0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 337 to 83 computations (75.4% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite358.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best_45_simplify-71`
958×	`rational_best_45_simplify-100`
918×	`rational_best_45_simplify-67`
794×	`rational_best-4`
794×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	104	31
2	367	31
3	1708	31

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 phi2))))))) (#(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))) (*.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))) (*.f64 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (*.f64 -1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(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 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 (*.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 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(cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.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 -1 (neg.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (-.f64 0 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (*.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (*.f64 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.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 (neg.f64 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 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simplify347.0ms (1%)

Algorithm

1×	egg-herbie

Rules

908×	`rational_best_45_simplify-84`
898×	`rational_best_45_simplify-73`
622×	`rational_best_45_simplify-1`
616×	`rational_best_45_simplify-74`
530×	`rational_best_45_simplify-25`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	2957
1	552	2943
2	2239	2943
3	5069	2943

Stop Event

1×	node limit

Counts

73 → 82

Calls

Call 1

Inputs
(+.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 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))
(+.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 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (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 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 phi2))))
(-.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))) (.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))) (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) 0))
(-.f64 0 (.f64 -1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
(.f64 -1 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(.f64 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) -1)
(.f64 (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (-.f64 0 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (neg.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 1)
(/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))

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

localize18.0ms (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 lambda1 lambda2)) 1))
	0.6b	(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 48 to 17 computations (64.6% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational_best_45_simplify-71`
1114×	`rational_best_45_simplify-67`
1078×	`rational_best-4`
1078×	`rational_best-2`
1078×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	59	33
2	129	33
3	424	33
4	1957	33

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational_best_45_simplify-100`
1346×	`rational_best_45_simplify-91`
984×	`rational_best_45_simplify-25`
974×	`rational_best_45_simplify-37`
842×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	1844
1	360	1812
2	2353	1812

Stop Event

1×	node limit

Counts

52 → 50

Calls

Call 1

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))
	0.1b	(*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))
	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 66 to 14 computations (78.8% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite182.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`rational_best_45_simplify-73`
628×	`rational_best_45_simplify-100`
612×	`rational_best_45_simplify-71`
572×	`rational_best-4`
572×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	94	45
2	295	45
3	1255	45
4	5249	45

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) (*.f64 0 (/.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))))) (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 lambda1 (neg.f64 (sin.f64 (neg.f64 lambda2))))) (/.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 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simplify159.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational_best_45_simplify-96`
978×	`rational_best_45_simplify-100`
810×	`rational_best_45_simplify-91`
738×	`rational_best_45_simplify-108`
652×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	3048
1	259	2912
2	1078	2912
3	4899	2912

Stop Event

1×	node limit

Counts

64 → 37

Calls

Call 1

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

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

localize30.0ms (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 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
✓	0.5b	(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 80 to 20 computations (75% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	0	(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
0.0ms	lambda2	@	0	(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
0.0ms	lambda2	@	inf	(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
0.0ms	lambda2	@	-inf	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
0.0ms	phi2	@	0	(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))

rewrite123.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`rational_best_45_simplify-96`
730×	`rational_best_45_simplify-73`
556×	`rational_best_45_simplify-100`
540×	`rational_best_45_simplify-71`
522×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	87	80
2	258	80
3	1094	80
4	4816	80

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs

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

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

Outputs

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simplify233.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational_best_45_simplify-84`
984×	`rational_best_45_simplify-25`
858×	`rational_best_45_simplify-98`
672×	`rational_best_45_simplify-80`
644×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	211	4338
1	763	4088
2	3532	4088

Stop Event

1×	node limit

Counts

90 → 115

Calls

Call 1

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

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

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
✓	0.6b	(+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) 1)
	3.8b	(sin.f64 (-.f64 lambda1 lambda2))
	4.0b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 133 to 40 computations (69.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite302.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational_best_45_simplify-35`
790×	`rational_best_45_simplify-71`
612×	`rational_best_45_simplify-100`
582×	`rational_best_45_simplify-67`
554×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	88
1	76	50
2	259	50
3	1220	50
4	5488	50

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs

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

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

Outputs

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

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simplify263.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

874×	`rational_best_45_simplify-84`
852×	`rational_best_45_simplify-98`
674×	`rational_best_45_simplify-25`
630×	`rational_best_45_simplify-80`
552×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	232	3649
1	801	3635
2	3136	3635

Stop Event

1×	node limit

Counts

139 → 126

Calls

Call 1

Inputs
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(+.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
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(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) -1)
(neg.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (neg.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (*.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2)))))

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

eval1.3s (3.5%)

Compiler: Compiled 74764 to 20517 computations (72.6% saved)

prune1.0s (2.8%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	1573	15	1588
Fresh	3	23	26
Picked	1	0	1
Done	4	0	4
Total	1581	38	1619

Error

0.5b

Counts

1619 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 (cos.f64 phi2) (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	20.9b	(+.f64 lambda1 (atan2.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	14.2b	(+.f64 lambda1 (atan2.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	26.2b	(+.f64 lambda1 (atan2.f64 (+.f64 (sin.f64 lambda1) (*.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	21.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	7.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	31.2b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
	30.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.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 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
	14.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (+.f64 1 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	13.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	38.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 lambda2 lambda1) (.f64 lambda1 (.f64 -1/6 (pow.f64 lambda2 3))))))
	28.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda1) (.f64 1/24 (*.f64 (pow.f64 phi2 4) (cos.f64 lambda1))))))))
	13.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi1))))
	13.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	21.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 lambda2 lambda1)))))
	14.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))
	21.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	21.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))
	13.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))) (.f64 (cos.f64 phi1) (/.f64 1 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))))
	0.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))))))))
	31.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 lambda2 lambda1)))
	25.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	31.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	32.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
	25.4b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	30.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) lambda1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	30.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
	25.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (/.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))))
	14.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (cos.f64 phi1))))
	20.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) 1)))
	21.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))
	20.9b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (neg.f64 lambda2)) 1)))
	25.4b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda1) 1)))
	31.7b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
	22.5b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	31.4b	(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
	29.6b	(+.f64 lambda1 (atan2.f64 lambda1 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 937 to 572 computations (39% saved)

regimes223.0ms (0.6%)

Counts

68 → 1

Calls

Call 1

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

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:

30.0ms	lambda2
30.0ms	(+.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))))))
30.0ms	phi2
29.0ms	phi1
29.0ms	lambda1

Results

Error	Segments	Branch
0.6b	1	`lambda1`
0.6b	1	`lambda2`
0.6b	1	`phi1`
0.6b	1	`phi2`
0.6b	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))))))`
0.6b	1	`(cos.f64 phi2)`
0.6b	1	`(cos.f64 phi1)`

Compiler

Compiled 1684 to 428 computations (74.6% saved)

regimes163.0ms (0.4%)

Counts

39 → 1

Calls

Call 1

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

Calls

6 calls:

61.0ms	lambda1
21.0ms	(cos.f64 phi2)
18.0ms	phi1
18.0ms	phi2
18.0ms	lambda2

Results

Error	Segments	Branch
0.8b	1	`lambda1`
0.8b	1	`lambda2`
0.8b	1	`phi1`
0.8b	1	`phi2`
0.8b	1	`(cos.f64 phi2)`
0.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 659 to 190 computations (71.2% saved)

regimes330.0ms (0.9%)

Counts

37 → 3

Calls

Call 1

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

Outputs

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

Calls

6 calls:

87.0ms	lambda1
82.0ms	phi2
50.0ms	lambda2
49.0ms	phi1
27.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
10.4b	4	`lambda1`
5.7b	3	`lambda2`
5.8b	3	`phi1`
6.0b	3	`phi2`
6.0b	2	`(cos.f64 phi2)`
5.9b	2	`(cos.f64 phi1)`

Compiler

Compiled 621 to 185 computations (70.2% saved)

bsearch202.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	0.0066382974519762945	2023.851357114685
113.0ms	-4.2542650926089634e-5	-1.3431550449697374e-17

Results

130.0ms	124×	body	1024	valid
37.0ms	74×	body	512	valid
27.0ms	104×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 895 to 589 computations (34.2% saved)

regimes314.0ms (0.9%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

93.0ms	lambda1
58.0ms	phi2
50.0ms	phi1
49.0ms	lambda2
27.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
9.6b	6	`lambda1`
5.9b	3	`lambda2`
5.9b	3	`phi1`
6.0b	3	`phi2`
6.1b	2	`(cos.f64 phi2)`
5.9b	2	`(cos.f64 phi1)`

Compiler

Compiled 603 to 183 computations (69.7% saved)

bsearch173.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	0.0066382974519762945	2023.851357114685
93.0ms	-4.2542650926089634e-5	-1.3431550449697374e-17

Results

101.0ms	127×	body	1024	valid
34.0ms	65×	body	512	valid
29.0ms	110×	body	256	valid
5.0ms	2×	body	2048	valid

Compiler

Compiled 933 to 608 computations (34.8% saved)

regimes284.0ms (0.8%)

Counts

33 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

87.0ms	lambda1
47.0ms	phi1
45.0ms	lambda2
44.0ms	phi2
25.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
10.7b	4	`lambda1`
5.9b	3	`lambda2`
5.9b	3	`phi1`
6.0b	3	`phi2`
6.1b	2	`(cos.f64 phi2)`
5.9b	2	`(cos.f64 phi1)`

Compiler

Compiled 542 to 169 computations (68.8% saved)

bsearch135.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	9.21239180869312e+28	1.5554165572733187e+37
46.0ms	-23373204575617.254	-9001706057776.129

Results

89.0ms	107×	body	1024	valid
25.0ms	48×	body	512	valid
17.0ms	69×	body	256	valid

Compiler

Compiled 647 to 412 computations (36.3% saved)

regimes254.0ms (0.7%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

Calls

6 calls:

70.0ms	lambda1
44.0ms	phi1
43.0ms	lambda2
42.0ms	phi2
24.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
10.7b	4	`lambda1`
5.9b	3	`lambda2`
6.1b	3	`phi1`
6.0b	3	`phi2`
6.1b	2	`(cos.f64 phi2)`
6.1b	2	`(cos.f64 phi1)`

Compiler

Compiled 503 to 161 computations (68% saved)

bsearch178.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	0.0066382974519762945	2023.851357114685
93.0ms	-4.2542650926089634e-5	-1.3431550449697374e-17

Results

114.0ms	137×	body	1024	valid
35.0ms	76×	body	512	valid
24.0ms	91×	body	256	valid

Compiler

Compiled 838 to 551 computations (34.2% saved)

regimes244.0ms (0.7%)

Counts

30 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

64.0ms	lambda1
43.0ms	phi2
40.0ms	phi1
39.0ms	lambda2
25.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
10.9b	4	`lambda1`
6.4b	3	`lambda2`
10.5b	3	`phi1`
6.0b	3	`phi2`
6.1b	2	`(cos.f64 phi2)`
11.2b	2	`(cos.f64 phi1)`

Compiler

Compiled 485 to 156 computations (67.8% saved)

bsearch152.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	1.4938846329972383e-62	4.920060359038585e-54
68.0ms	-4.902348336395089e-5	-5.945955827024467e-13

Results

85.0ms	110×	body	1024	valid
30.0ms	65×	body	512	valid
24.0ms	108×	body	256	valid
7.0ms	5×	body	2048	valid

Compiler

Compiled 787 to 506 computations (35.7% saved)

regimes231.0ms (0.6%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

6 calls:

64.0ms	lambda1
40.0ms	phi2
39.0ms	phi1
39.0ms	lambda2
22.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
10.9b	4	`lambda1`
6.4b	3	`lambda2`
10.7b	3	`phi1`
6.3b	3	`phi2`
6.3b	2	`(cos.f64 phi2)`
11.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 468 to 154 computations (67.1% saved)

bsearch148.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
76.0ms	1.4938846329972383e-62	4.920060359038585e-54
72.0ms	-4.902348336395089e-5	-5.945955827024467e-13

Results

79.0ms	102×	body	1024	valid
36.0ms	75×	body	512	valid
26.0ms	109×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 769 to 524 computations (31.9% saved)

regimes162.0ms (0.4%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

35.0ms	phi1
35.0ms	lambda2
34.0ms	phi2
19.0ms	(cos.f64 phi1)
19.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
13.3b	1	`lambda1`
9.0b	3	`lambda2`
11.1b	3	`phi1`
11.4b	3	`phi2`
12.1b	2	`(cos.f64 phi2)`
11.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 418 to 145 computations (65.3% saved)

bsearch152.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	0.0066382974519762945	2023.851357114685
72.0ms	-1.3162996648945857e+22	-995895624669264000.0

Results

85.0ms	102×	body	1024	valid
38.0ms	80×	body	512	valid
25.0ms	90×	body	256	valid

Compiler

Compiled 720 to 487 computations (32.4% saved)

regimes244.0ms (0.7%)

Counts

25 → 4

Calls

Call 1

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

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

Calls

6 calls:

76.0ms	lambda1
47.0ms	phi2
43.0ms	lambda2
33.0ms	phi1
19.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
16.6b	7	`lambda1`
14.9b	4	`lambda2`
15.7b	3	`phi1`
16.4b	3	`phi2`
16.6b	2	`(cos.f64 phi2)`
16.2b	2	`(cos.f64 phi1)`

Compiler

Compiled 403 to 142 computations (64.8% saved)

bsearch205.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
86.0ms	0.0066382974519762945	2023.851357114685
66.0ms	2.2672069511476183e-129	3.3012037320248096e-127
53.0ms	-3.2527296223790777e-159	-1.883493478736079e-161

Results

122.0ms	157×	body	1024	valid
44.0ms	93×	body	512	valid
28.0ms	115×	body	256	valid
5.0ms	3×	body	2048	valid

Compiler

Compiled 967 to 650 computations (32.8% saved)

regimes236.0ms (0.6%)

Counts

24 → 4

Calls

Call 1

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

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

Calls

6 calls:

73.0ms	lambda1
44.0ms	phi2
43.0ms	lambda2
33.0ms	phi1
18.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
16.6b	7	`lambda1`
14.9b	4	`lambda2`
15.7b	3	`phi1`
16.4b	3	`phi2`
16.6b	2	`(cos.f64 phi2)`
16.2b	2	`(cos.f64 phi1)`

Compiler

Compiled 388 to 139 computations (64.2% saved)

bsearch212.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
89.0ms	0.0066382974519762945	2023.851357114685
64.0ms	2.2672069511476183e-129	3.3012037320248096e-127
59.0ms	-3.2527296223790777e-159	-1.883493478736079e-161

Results

135.0ms	171×	body	1024	valid
47.0ms	94×	body	512	valid
25.0ms	103×	body	256	valid

Compiler

Compiled 951 to 650 computations (31.7% saved)

regimes132.0ms (0.4%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	lambda2
30.0ms	lambda1
29.0ms	phi1
17.0ms	(cos.f64 phi1)
11.0ms	phi2

Results

Error	Segments	Branch
18.8b	3	`lambda1`
16.0b	3	`lambda2`
15.9b	3	`phi1`
20.1b	1	`phi2`
20.1b	1	`(cos.f64 phi2)`
16.2b	2	`(cos.f64 phi1)`

Compiler

Compiled 358 to 135 computations (62.3% saved)

bsearch148.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	9.21239180869312e+28	1.5554165572733187e+37
45.0ms	-23373204575617.254	-9001706057776.129

Results

86.0ms	106×	body	1024	valid
41.0ms	47×	body	512	valid
17.0ms	71×	body	256	valid

Compiler

Compiled 600 to 412 computations (31.3% saved)

regimes285.0ms (0.8%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

101.0ms	(cos.f64 phi1)
101.0ms	lambda2
29.0ms	phi1
29.0ms	lambda1
11.0ms	phi2

Results

Error	Segments	Branch
18.8b	3	`lambda1`
16.5b	3	`lambda2`
16.3b	3	`phi1`
20.1b	1	`phi2`
20.1b	1	`(cos.f64 phi2)`
16.3b	2	`(cos.f64 phi1)`

Compiler

Compiled 343 to 131 computations (61.8% saved)

bsearch156.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
111.0ms	9.21239180869312e+28	1.5554165572733187e+37
45.0ms	-23373204575617.254	-9001706057776.129

Results

85.0ms	104×	body	1024	valid
50.0ms	48×	body	512	valid
18.0ms	72×	body	256	valid

Compiler

Compiled 591 to 412 computations (30.3% saved)

regimes120.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

24.0ms	lambda2
23.0ms	lambda1
23.0ms	phi1
17.0ms	phi2
14.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
19.1b	3	`lambda1`
16.5b	3	`lambda2`
16.7b	3	`phi1`
19.7b	2	`phi2`
19.7b	2	`(cos.f64 phi2)`
16.7b	2	`(cos.f64 phi1)`

Compiler

Compiled 253 to 101 computations (60.1% saved)

bsearch330.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
179.0ms	0.0066382974519762945	2023.851357114685
150.0ms	-1.3162996648945857e+22	-995895624669264000.0

Results

162.0ms	108×	body	1024	valid
102.0ms	94×	body	256	valid
59.0ms	69×	body	512	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 694 to 513 computations (26.1% saved)

regimes229.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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 (-.f64 lambda1 lambda2)) 1)))

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

Calls

6 calls:

98.0ms	lambda1
74.0ms	lambda2
22.0ms	phi1
13.0ms	phi2
11.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
19.1b	3	`lambda1`
16.9b	3	`lambda2`
16.7b	3	`phi1`
19.7b	2	`phi2`
20.8b	1	`(cos.f64 phi2)`
16.7b	2	`(cos.f64 phi1)`

Compiler

Compiled 206 to 90 computations (56.3% saved)

bsearch251.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
94.0ms	1.2478328268028532e-13	2.616301313235617e-11
156.0ms	-30.279228470950045	-0.40222576573727253

Results

203.0ms	94×	body	1024	valid
27.0ms	58×	body	512	valid
17.0ms	72×	body	256	valid

Compiler

Compiled 549 to 384 computations (30.1% saved)

regimes108.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

59.0ms	phi1
21.0ms	lambda2
7.0ms	(cos.f64 phi1)
6.0ms	lambda1
6.0ms	phi2

Results

Error	Segments	Branch
20.8b	1	`lambda1`
19.8b	3	`lambda2`
20.8b	1	`phi1`
20.8b	1	`phi2`
20.8b	1	`(cos.f64 phi2)`
20.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 177 to 83 computations (53.1% saved)

bsearch347.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
187.0ms	3.436467001901335e-153	3.659470951141881e-139
161.0ms	-1.6079454101377374e-274	-3.690074510586781e-275

Results

162.0ms	54×	body	512	valid
137.0ms	107×	body	1024	valid
43.0ms	94×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 617 to 426 computations (31% saved)

regimes190.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

98.0ms	lambda2
75.0ms	(cos.f64 phi2)
5.0ms	lambda1
5.0ms	phi1
5.0ms	phi2

Results

Error	Segments	Branch
20.8b	1	`lambda1`
20.8b	1	`lambda2`
20.8b	1	`phi1`
20.8b	1	`phi2`
20.8b	1	`(cos.f64 phi2)`

Compiler

Compiled 115 to 62 computations (46.1% saved)

regimes21.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	phi1
5.0ms	lambda1
4.0ms	phi2
4.0ms	lambda2

Results

Error	Segments	Branch
20.9b	1	`lambda1`
20.9b	1	`lambda2`
20.9b	1	`phi1`
20.9b	1	`phi2`

Compiler

Compiled 83 to 48 computations (42.2% saved)

regimes22.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

10.0ms	lambda2
4.0ms	phi1
3.0ms	phi2
3.0ms	lambda1

Results

Error	Segments	Branch
22.5b	1	`lambda1`
20.8b	3	`lambda2`
22.5b	1	`phi1`
22.5b	1	`phi2`

Compiler

Compiled 58 to 39 computations (32.8% saved)

bsearch179.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	4.4238317968700404e-46	2.2750204280945397e-44
134.0ms	-1.3162996648945857e+22	-995895624669264000.0

Results

77.0ms	71×	body	256	valid
72.0ms	85×	body	1024	valid
24.0ms	51×	body	512	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 460 to 345 computations (25% saved)

regimes19.0ms (0.1%)

Accuracy

Total -6.1b remaining (-23.8%)

Threshold costs -6.1b (-23.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	phi2
4.0ms	lambda1
3.0ms	lambda2
3.0ms	phi1

Results

Error	Segments	Branch
25.4b	1	`lambda1`
25.4b	1	`lambda2`
25.4b	1	`phi1`
25.4b	1	`phi2`

Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	2781

Stop Event

1×	fuel
1×	saturated

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))))))
(+.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 -4533471823554859/151115727451828646838272) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 7724574080865875/1152921504606846976) (+.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 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))))
(if (<=.f64 lambda2 -1357680363825023/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 8358680908399641/576460752303423488) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.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 1 (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))))
(if (<=.f64 phi1 -9200000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi1 94999999999999992741102616576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 lambda2 -2434970217729661/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 5764607523034235/576460752303423488) (+.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 (neg.f64 lambda2)) (cos.f64 phi2)))))))
(if (<=.f64 phi2 -8028023020878397/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 8282095616148677/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 phi2 -6788401819125115/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 8282095616148677/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.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))))))
(if (<=.f64 lambda2 -1350000000000000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 1080863910568919/18014398509481984) (+.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 (-.f64 lambda1 lambda2)) 1)))))
(if (<=.f64 lambda2 -6078391946603017/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 6867846810695183/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))) (if (<=.f64 lambda2 4496393867966703/576460752303423488) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))))))
(if (<=.f64 lambda2 -1582914569427869/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))) (if (<=.f64 lambda2 7724574080865875/1152921504606846976) (+.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 (cos.f64 (-.f64 lambda1 lambda2)) 1))))))
(if (<=.f64 phi1 -9200000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (if (<=.f64 phi1 94999999999999992741102616576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))))
(if (<=.f64 phi1 -9200000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (if (<=.f64 phi1 94999999999999992741102616576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))))
(if (<=.f64 lambda2 -1000000000000000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 1224979098644775/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
(if (<=.f64 phi1 -7385903388887613/18014398509481984) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (if (<=.f64 phi1 2011652563838743/77371252455336267181195264) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))))
(if (<=.f64 lambda2 -164452173942375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (neg.f64 lambda2)) 1))) (if (<=.f64 lambda2 1710076723747261/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (+.f64 lambda1 (atan2.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 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (neg.f64 lambda2)) 1)))
(if (<=.f64 lambda2 -1000000000000000000) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 8034690221294951/401734511064747568885490523085290650630550748445698208825344) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda1) 1))) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda1) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 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))))))
(+.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 -4533471823554859/151115727451828646838272) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 7724574080865875/1152921504606846976) (+.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 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))))
(if (<=.f64 lambda2 -1357680363825023/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 8358680908399641/576460752303423488) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.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 1 (*.f64 (cos.f64 (neg.f64 lambda2)) (cos.f64 phi2)))))))
(if (<=.f64 phi1 -9200000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi1 94999999999999992741102616576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 lambda2 -2434970217729661/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (if (<=.f64 lambda2 5764607523034235/576460752303423488) (+.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 (neg.f64 lambda2)) (cos.f64 phi2)))))))
(if (<=.f64 phi2 -8028023020878397/1180591620717411303424) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 8282095616148677/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 phi2 -6788401819125115/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 8282095616148677/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (neg.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))))))
(if (<=.f64 lambda2 -1350000000000000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 1080863910568919/18014398509481984) (+.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 (-.f64 lambda1 lambda2)) 1)))))
(if (<=.f64 lambda2 -6078391946603017/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 6867846810695183/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))) (if (<=.f64 lambda2 4496393867966703/576460752303423488) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))))))
(if (<=.f64 lambda2 -1582914569427869/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1)))) (if (<=.f64 lambda2 7724574080865875/1152921504606846976) (+.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 (cos.f64 (-.f64 lambda1 lambda2)) 1))))))
(if (<=.f64 phi1 -9200000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (if (<=.f64 phi1 94999999999999992741102616576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 phi1))))))
(if (<=.f64 phi1 -9200000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (if (<=.f64 phi1 94999999999999992741102616576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))))
(if (<=.f64 lambda2 -1000000000000000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 1224979098644775/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
(if (<=.f64 phi1 -7385903388887613/18014398509481984) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))) (if (<=.f64 phi1 2011652563838743/77371252455336267181195264) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))))
(if (<=.f64 lambda2 -164452173942375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (neg.f64 lambda2)) 1))) (if (<=.f64 lambda2 1710076723747261/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (+.f64 lambda1 (atan2.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 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (neg.f64 lambda2)) 1)))
(if (<=.f64 lambda2 -1000000000000000000) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))) (if (<=.f64 lambda2 8034690221294951/401734511064747568885490523085290650630550748445698208825344) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda1) 1))) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda1) 1)))
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))

Compiler

Compiled 1015 to 511 computations (49.7% saved)

soundness0.0ms (0%)

end367.0ms (1%)

Compiler: Compiled 935 to 272 computations (70.9% saved)