Details

analyze1.1s (2.6%)

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)

sample13.7s (30.6%)

Results

10.4s	4596×	body	1024	valid
1.7s	1728×	body	256	valid
1.3s	1804×	body	512	valid
221.0ms	128×	body	2048	valid

Bogosity

preprocess93.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1996×	`rational.json-simplify-35`
1300×	`rational.json-simplify-2`
1202×	`rational.json-simplify-26`
1042×	`rational.json-simplify-41`
736×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	441
1	126	441
2	200	441
3	317	441
4	538	441
5	1122	441
6	2914	441
7	5634	441
8	7624	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 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 lambda2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 lambda2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 phi1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(+.f64 phi1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 phi1))))))
(+.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 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 phi2 lambda1))))))
(+.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))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify167.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2150×	`rational.json-simplify-35`
2062×	`rational.json-simplify-1`
888×	`rational.json-simplify-2`
868×	`rational.json-simplify-41`
748×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	31	63
2	52	63
3	86	63
4	154	63
5	304	63
6	691	63
7	1833	63
8	3969	63
9	4823	63
10	5677	63
11	5987	63
12	6340	63
13	6793	63

Stop Event

1×	node limit

Counts

1 → 2

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))))))

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

eval1.0ms (0%)

Compiler: Compiled 44 to 20 computations (54.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize26.0ms (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 lambda2 lambda1)))))
✓	0.4b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
✓	2.2b	(cos.f64 (-.f64 lambda2 lambda1))
✓	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 88 to 15 computations (83% saved)

series11.0ms (0%)

Counts

4 → 64

Calls

36 calls:

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

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`bool.json-1`
1772×	`bool.json-2`
1736×	`rational.json-1`
1316×	`bool.json-3`
710×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	171	110
2	466	110
3	1011	110
4	2323	110
5	5832	110

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

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

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

simplify235.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2564×	`rational.json-simplify-2`
1452×	`rational.json-simplify-35`
1152×	`rational.json-simplify-53`
1042×	`rational.json-simplify-1`
608×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4679
1	631	4651
2	1404	4549
3	2586	4399
4	3874	4399
5	4837	4399
6	5911	4399
7	6624	4399
8	6984	4399
9	7567	4399

Stop Event

1×	node limit

Counts

135 → 229

Calls

Call 1

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

Outputs
(sin.f64 (neg.f64 lambda2))
(neg.f64 (sin.f64 lambda2))
(+.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1))
(+.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 (cos.f64 lambda2)))
(+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 (pow.f64 lambda1 2) -1/2))))
(+.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 (cos.f64 lambda2))) (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 -1/2 (pow.f64 lambda1 2))))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (pow.f64 lambda1 2) -1/2))) (.f64 -1/6 (*.f64 (pow.f64 lambda1 3) (cos.f64 lambda2)))))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (.f64 (pow.f64 lambda1 3) (*.f64 (cos.f64 lambda2) -1/6))))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 lambda1 (cos.f64 lambda2)) (.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (cos.f64 lambda2))))))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) lambda1))))
(+.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (cos.f64 lambda2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))))
(sin.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))
(sin.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))
(sin.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))
(sin.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))
(sin.f64 lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 lambda1))) (sin.f64 lambda1))
(+.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)))
(+.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (neg.f64 lambda2)))
(+.f64 (sin.f64 lambda1) (*.f64 (neg.f64 lambda2) (cos.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1)))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 2) -1/2)) (+.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(+.f64 (+.f64 (sin.f64 lambda1) (.f64 (neg.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 lambda1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 lambda1))) (+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 lambda1))))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 lambda1) -1)) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 lambda1))))))
(+.f64 (sin.f64 lambda1) (+.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 2) -1/2)) (.f64 (cos.f64 lambda1) (.f64 1/6 (pow.f64 lambda2 3)))) (*.f64 (cos.f64 lambda1) (neg.f64 lambda2))))
(+.f64 (+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))) (+.f64 (.f64 (neg.f64 lambda2) (cos.f64 lambda1)) (.f64 1/6 (*.f64 (pow.f64 lambda2 3) (cos.f64 lambda1)))))
(+.f64 (+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))) (.f64 (cos.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))
(+.f64 (+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2)))) (.f64 (cos.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3)))))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (neg.f64 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (neg.f64 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (neg.f64 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 (neg.f64 (sin.f64 lambda1)) -1)))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (neg.f64 (neg.f64 (sin.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 (-.f64 lambda1 0))))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (.f64 (neg.f64 (sin.f64 lambda1)) -1)) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (neg.f64 (neg.f64 (sin.f64 lambda1)))) (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 (-.f64 lambda1 0))) (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (.f64 (neg.f64 (sin.f64 lambda1)) -1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (neg.f64 (sin.f64 lambda1)))))))
(+.f64 (+.f64 (.f64 lambda2 (neg.f64 (neg.f64 (sin.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (+.f64 (cos.f64 lambda1) (.f64 1/6 (*.f64 (pow.f64 lambda2 3) (neg.f64 (sin.f64 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 (-.f64 lambda1 0)))) (.f64 1/6 (*.f64 (pow.f64 lambda2 3) (neg.f64 (sin.f64 lambda1))))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (pow.f64 lambda1 2) (cos.f64 lambda2)))))
(+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 2) (*.f64 (cos.f64 lambda2) -1/2)) (cos.f64 lambda2)))
(+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) (*.f64 -1/2 (cos.f64 lambda2)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (.f64 (pow.f64 lambda1 2) (cos.f64 lambda2)))) (.f64 -1/6 (*.f64 (pow.f64 lambda1 3) (sin.f64 lambda2)))))
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eval66.0ms (0.1%)

Compiler: Compiled 6833 to 2249 computations (67.1% saved)

prune51.0ms (0.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	218	11	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	11	230

Error

0.5b

Counts

230 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	11.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
	1.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 (cos.f64 lambda2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
	17.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (neg.f64 (neg.f64 (sin.f64 lambda1))))) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 (pow.f64 lambda2 2) -1/2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda1)) (.f64 (cos.f64 phi2) (pow.f64 lambda2 3))))))))
▶	14.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi2)))))
▶	14.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))))))
▶	13.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
▶	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	12.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
	28.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
▶	22.6b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))

Compiler

Compiled 620 to 398 computations (35.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
✓	0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 75 to 14 computations (81.3% saved)

series8.0ms (0%)

Counts

3 → 88

Calls

30 calls:

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

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`bool.json-1`
1666×	`bool.json-2`
1632×	`rational.json-1`
1632×	`rational.json-2`
1220×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	97
1	162	97
2	447	97
3	994	97
4	2275	97
5	5554	97

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify256.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1984×	`rational.json-simplify-1`
1846×	`rational.json-simplify-35`
1760×	`rational.json-simplify-2`
768×	`rational.json-simplify-41`
648×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	5496
1	470	5440
2	981	5364
3	1896	5256
4	3302	5256
5	3925	5256
6	4776	5256
7	5337	5256
8	5780	5256
9	6259	5256
10	7606	5256

Stop Event

1×	node limit

Counts

126 → 151

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.6b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
	2.2b	(cos.f64 (-.f64 lambda2 lambda1))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite111.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`bool.json-1`
1720×	`bool.json-2`
1672×	`rational.json-1`
1100×	`bool.json-3`
918×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	100	21
2	284	21
3	632	21
4	1377	21
5	3185	21
6	6576	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify374.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2012×	`rational.json-simplify-35`
1312×	`rational.json-simplify-48`
1158×	`rational.json-simplify-2`
938×	`rational.json-simplify-1`
930×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	1539
1	272	1533
2	586	1523
3	1199	1503
4	2047	1493
5	3405	1493
6	4414	1493
7	5663	1493
8	6226	1493
9	6748	1493
10	7391	1493

Stop Event

1×	node limit

Counts

57 → 85

Calls

Call 1

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

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

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))
	0.4b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
	2.2b	(cos.f64 (-.f64 lambda2 lambda1))

Compiler

Compiled 77 to 14 computations (81.8% saved)

series63.0ms (0.1%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
60.0ms	phi2	@	inf	(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
0.0ms	lambda1	@	0	(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
0.0ms	phi2	@	0	(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
0.0ms	phi2	@	-inf	(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
0.0ms	lambda1	@	inf	(*.f64 (cos.f64 phi2) (sin.f64 lambda1))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`bool.json-1`
1506×	`bool.json-2`
1472×	`rational.json-1`
1472×	`rational.json-2`
1472×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	162	66
2	445	66
3	973	66
4	2157	66
5	5076	66

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify568.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1840×	`rational.json-simplify-35`
1204×	`rational.json-simplify-2`
1202×	`rational.json-simplify-26`
936×	`rational.json-simplify-41`
922×	`rational.json-simplify-42`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	113	1888
1	240	1810
2	485	1770
3	1000	1750
4	2214	1750
5	3739	1750
6	4321	1750
7	4947	1670
8	6569	1670
9	7313	1670
10	7944	1670

Stop Event

1×	node limit

Counts

40 → 62

Calls

Call 1

Inputs
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(sin.f64 lambda1)
(+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (sin.f64 lambda1) (pow.f64 phi2 4)))))
(+.f64 (.f64 -1/720 (.f64 (sin.f64 lambda1) (pow.f64 phi2 6))) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))))
(*.f64 (cos.f64 phi2) lambda1)
(+.f64 (.f64 (cos.f64 phi2) lambda1) (.f64 -1/6 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3))))
(+.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (.f64 1/120 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 5)))))
(+.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (+.f64 (.f64 -1/5040 (.f64 (cos.f64 phi2) (pow.f64 lambda1 7))) (.f64 1/120 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 5))))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 0)
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 0)
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1/2))
(.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2) 1/2)
(.f64 4 (/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4))
(.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4) 1/4)
(.f64 1/2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2))
(.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1/2) 2)
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4))) 16)
(+.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) 0)
(+.f64 0 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)))
(-.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) 0)
(/.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 2)) 2)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda1) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 4))) (.f64 2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 4)))) 16)

Outputs
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 lambda1 -1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (neg.f64 lambda1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 lambda1 -1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (neg.f64 lambda1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 lambda1 -1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (neg.f64 lambda1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (cos.f64 phi2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 lambda1 -1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 (neg.f64 lambda1) lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(sin.f64 lambda1)
(+.f64 (sin.f64 lambda1) (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 2) -1/2)))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 phi2 2))))
(+.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 2) (.f64 (sin.f64 lambda1) -1/2)))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (sin.f64 lambda1) (pow.f64 phi2 4)))))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 2) -1/2)) (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 4) 1/24))))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 1/24 (pow.f64 phi2 4))) (+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/720 (.f64 (sin.f64 lambda1) (pow.f64 phi2 6))) (+.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (pow.f64 phi2 2))) (.f64 1/24 (.f64 (sin.f64 lambda1) (pow.f64 phi2 4))))))
(+.f64 (sin.f64 lambda1) (+.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 2) -1/2)) (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 4) 1/24))) (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi2 6) -1/720))))
(+.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 phi2 2))) (.f64 (sin.f64 lambda1) (.f64 1/24 (pow.f64 phi2 4)))) (+.f64 (.f64 (sin.f64 lambda1) (.f64 -1/720 (pow.f64 phi2 6))) (sin.f64 lambda1)))
(+.f64 (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2)))) (+.f64 (sin.f64 lambda1) (.f64 -1/720 (*.f64 (sin.f64 lambda1) (pow.f64 phi2 6)))))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (.f64 -1/720 (pow.f64 phi2 6))))))
(*.f64 (cos.f64 phi2) lambda1)
(+.f64 (.f64 (cos.f64 phi2) lambda1) (.f64 -1/6 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3))))
(+.f64 (.f64 (cos.f64 phi2) lambda1) (.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda1 3) -1/6)))
(.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))
(+.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (.f64 1/120 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 5)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 3) -1/6)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 5) 1/120)) (*.f64 (cos.f64 phi2) lambda1)))
(+.f64 (.f64 (cos.f64 phi2) (.f64 -1/6 (pow.f64 lambda1 3))) (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 1/120 (pow.f64 lambda1 5)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) (+.f64 lambda1 (*.f64 1/120 (pow.f64 lambda1 5)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(+.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (+.f64 (.f64 -1/5040 (.f64 (cos.f64 phi2) (pow.f64 lambda1 7))) (.f64 1/120 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 5))))))
(+.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 3) -1/6)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 5) 1/120)) (.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda1 7) -1/5040)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 -1/5040 (pow.f64 lambda1 7))) (+.f64 (.f64 (cos.f64 phi2) (.f64 -1/6 (pow.f64 lambda1 3))) (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 1/120 (pow.f64 lambda1 5))))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/5040 (pow.f64 lambda1 7)) (*.f64 1/120 (pow.f64 lambda1 5)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 -1/5040 (pow.f64 lambda1 7)) (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 lambda1 (.f64 -1/6 (pow.f64 lambda1 3))))))
(.f64 (cos.f64 phi2) (+.f64 lambda1 (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) (.f64 -1/5040 (pow.f64 lambda1 7))))))
(+.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 0 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1/2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2) 1/2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 4 (/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4) 1/4)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 1/2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1/2) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4) 4)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4)) 8)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 4))) 16)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) 0)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(+.f64 0 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)))
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(-.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) 0)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(/.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) 1)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 2)) 2)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 4)) 4)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda1) 4))) 8)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 4))) (.f64 2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) 4)))) 16)
(*.f64 (cos.f64 phi2) (sin.f64 lambda1))

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))
✓	0.3b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))))
	2.2b	(cos.f64 (-.f64 lambda2 lambda1))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 126 to 60 computations (52.4% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	0	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))
1.0ms	lambda2	@	0	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))))
1.0ms	phi2	@	inf	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))
1.0ms	phi1	@	inf	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))
0.0ms	lambda2	@	inf	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`bool.json-1`
1704×	`bool.json-2`
1664×	`rational.json-1`
1664×	`rational.json-2`
1156×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	233	116
2	593	116
3	1212	116
4	2725	116
5	5990	116

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify591.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1958×	`rational.json-simplify-51`
1874×	`rational.json-simplify-35`
1048×	`rational.json-simplify-1`
950×	`rational.json-simplify-26`
942×	`rational.json-simplify-2`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	157	5034
1	371	5012
2	723	4896
3	1451	4772
4	2724	4764
5	3659	4764
6	4816	4760
7	5551	4760
8	6080	4760
9	6712	4698

Stop Event

1×	node limit

Counts

76 → 115

Calls

Call 1

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

Outputs
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (-.f64 1 (*.f64 1/2 (pow.f64 phi2 2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (+.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 (.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 (neg.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(+.f64 1 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 1 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))) (+.f64 1 (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))) (.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 1))
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(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))) 2))
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2))))) 2) 1))
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))) 1)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 (.f64 2 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))) 1/2)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2)))))))
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(.f64 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))) 2) 2)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2))))) 1)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(/.f64 (.f64 2 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2)))))) 2)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/2 (pow.f64 phi2 2))))) 4) 4)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2))))) 4)) 8)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2))))) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 -1/2 (pow.f64 phi2 2))))) 4))) 16)
(+.f64 (cos.f64 phi1) (.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2)) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/2))))

localize600.0ms (1.3%)

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) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))))))
✓	0.4b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))
✓	4.1b	(cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))

Compiler

Compiled 115 to 18 computations (84.3% saved)

series10.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1866×	`bool.json-1`
1866×	`bool.json-2`
1298×	`bool.json-3`
884×	`rational.json-1`
884×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	131
1	212	131
2	566	131
3	1277	103
4	2946	103
5	6602	103

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify1.1s (2.4%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational.json-simplify-35`
1172×	`rational.json-simplify-26`
956×	`rational.json-simplify-41`
926×	`rational.json-simplify-2`
796×	`rational.json-simplify-45`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	218	9074
1	509	8772
2	1120	8542
3	2321	8356
4	4163	7712
5	4958	6860
6	6632	6860
7	7551	6860
8	7919	6860

Stop Event

1×	node limit

Counts

168 → 206

Calls

Call 1

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

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

eval829.0ms (1.9%)

Compiler: Compiled 35315 to 13205 computations (62.6% saved)

prune722.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1161	18	1179
Fresh	5	1	6
Picked	1	0	1
Done	4	0	4
Total	1171	19	1190

Error

0.4b

Counts

1190 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	20.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	1.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	15.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (*.f64 -1/2 (pow.f64 lambda2 2))))))
	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))))
	20.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	13.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
▶	0.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (+.f64 -1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))))
▶	15.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	21.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda1))))
	12.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
▶	12.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	27.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 phi2 2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))
	30.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	28.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	26.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
	23.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) lambda1) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
▶	15.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	15.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))

Compiler

Compiled 858 to 566 computations (34% saved)

localize127.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 -1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
✓	1.7b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
✓	2.2b	(cos.f64 (-.f64 lambda1 lambda2))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 130 to 53 computations (59.2% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite294.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`bool.json-1`
1682×	`bool.json-2`
1628×	`rational.json-1`
1628×	`rational.json-2`
1066×	`bool.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	115	51
2	320	45
3	654	43
4	1344	43
5	3086	43
6	6419	43

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

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

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

simplify954.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1990×	`rational.json-simplify-35`
1202×	`rational.json-simplify-2`
1014×	`rational.json-simplify-1`
960×	`rational.json-simplify-48`
912×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2955
1	485	2875
2	1280	2809
3	2531	2757
4	4005	2757
5	6023	2757
6	7094	2757
7	7609	2757

Stop Event

1×	node limit

Counts

141 → 205

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))
(-.f64 1 (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (cos.f64 (neg.f64 lambda2)))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) 1) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))) (cos.f64 lambda1))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(*.f64 -1 (cos.f64 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -1 (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -1 (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.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 (.f64 -1 lambda1) lambda2))))
(.f64 -1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(.f64 -1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(*.f64 -1 (cos.f64 lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (*.f64 -1 (cos.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))
(+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1 (cos.f64 lambda1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))))))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 -1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))
(.f64 -1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))
(.f64 -1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))
(.f64 -1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)
(+.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(+.f64 -1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))
(+.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) 1)
(+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) -1)
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(-.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1) 1)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(*.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(*.f64 4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))
(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/2)
(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
(.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))
(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2)
(*.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) 4)
(/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 2)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) 4)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8)) (.f64 2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8))) 32)
(+.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 0)
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))
(+.f64 0 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) -1)
(+.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(*.f64 -1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(.f64 2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) 1/2)
(*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 8) 8)
(/.f64 (*.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 8)) 16)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) 4) -4)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 8)) (.f64 2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))) (neg.f64 (.f64 2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))) 4)
(neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(-.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))
(-.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(-.f64 -1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(-.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 0)
(-.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)
(*.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) 1/2)
(*.f64 4 (/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4))
(.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/4)
(.f64 1/2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(.f64 1/4 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4))
(.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) 2)
(*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)
(/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) 2)
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -2)
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8) 8)
(/.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8)) (.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8))) 32)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(cos.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)))
(cos.f64 (+.f64 (PI.f64) (-.f64 lambda1 lambda2)))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1))))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 lambda1 lambda2))))

Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))
(+.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(+.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) 1/6))))
(+.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 1/6 (pow.f64 lambda1 3)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (neg.f64 lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 1/6 (pow.f64 lambda1 3))))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (neg.f64 lambda1) (.f64 1/6 (pow.f64 lambda1 3))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (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))))
(+.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 (cos.f64 lambda1) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) -1/6)) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (cos.f64 lambda1)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(-.f64 1 (cos.f64 (neg.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(-.f64 (+.f64 1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(+.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (-.f64 1 (cos.f64 lambda2)))
(+.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (-.f64 1 (cos.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (cos.f64 (neg.f64 lambda2)))
(+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) 1/2))) (-.f64 1 (cos.f64 lambda2)))
(+.f64 (-.f64 1 (cos.f64 lambda2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) 1/2))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) 1/2)) (-.f64 1 (cos.f64 lambda2))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (+.f64 (-.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) 1/2))))
(+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (+.f64 1 (-.f64 (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) 1/2)) (cos.f64 lambda2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (cos.f64 (neg.f64 lambda2)))
(+.f64 (+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) 1/2))) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/6))) (-.f64 1 (cos.f64 lambda2)))
(+.f64 1 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)) (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 2) 1/2)))) (cos.f64 lambda2)))
(+.f64 1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) 1/2)) (-.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 3) -1/6) lambda1)) (cos.f64 lambda2))))
(+.f64 1 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) 1/2)) (-.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))) (cos.f64 lambda2))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))) (-.f64 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 lambda1 2) 1/2)) (cos.f64 lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(-.f64 1 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(-.f64 1 (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) 1) (cos.f64 lambda1))
(+.f64 1 (-.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) -1)) (cos.f64 lambda1)))
(+.f64 1 (-.f64 (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (-.f64 1 (cos.f64 lambda1)) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))))
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(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(-.f64 1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(-.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(-.f64 -1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(-.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 0)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(-.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) 1/2)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 4 (/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/4)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 1/2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 1/4 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) 2)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4) 4)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) 2)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -2)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 4) 4)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8) 8)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8)) 16)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8)) (.f64 2 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 8))) 32)
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (cos.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)))
(cos.f64 (+.f64 (PI.f64) (-.f64 lambda1 lambda2)))
(cos.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1))))
(cos.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 lambda1 lambda2))))
(cos.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))
	0.6b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
	2.2b	(cos.f64 (-.f64 lambda2 lambda1))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 56 to 12 computations (78.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`bool.json-1`
1490×	`bool.json-2`
1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	131	37
2	373	37
3	817	37
4	1882	37
5	4763	37

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify186.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2072×	`rational.json-simplify-26`
1714×	`rational.json-simplify-35`
958×	`rational.json-simplify-2`
922×	`rational.json-simplify-1`
838×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	2036
1	118	2004
2	253	2004
3	550	2004
4	1165	2004
5	2404	2004
6	3403	2004
7	5132	2004
8	6023	2004
9	7073	2004
10	7794	2004

Stop Event

1×	node limit

Counts

52 → 26

Calls

Call 1

Inputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 0)
(+.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(-.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 0)
(*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1)
(*.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1/2))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2) 1/2)
(*.f64 4 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4) 1/4)
(.f64 1/2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1/2) 2)
(/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1)
(/.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2) 2)
(/.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4)) (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4))) 16)

Outputs
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1)))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) (cos.f64 phi1)))
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(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (.f64 lambda2 -1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (.f64 lambda2 -1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (.f64 lambda2 -1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (.f64 lambda2 -1))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (.f64 lambda2 -1)))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 0)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 0)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1/2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2) 1/2)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 4 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4) 1/4)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 1/2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1/2) 2)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2) 2)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4) 4)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4)) 8)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4)) (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 4))) 16)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))

localize113.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
✓	0.5b	(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 61 to 13 computations (78.7% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

18 calls:

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

rewrite255.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`bool.json-1`
1616×	`bool.json-2`
1582×	`rational.json-1`
1582×	`rational.json-2`
1582×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	152	56
2	427	56
3	955	56
4	2193	56
5	5356	56

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify218.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2118×	`rational.json-simplify-2`
1464×	`rational.json-simplify-26`
1182×	`rational.json-simplify-35`
1036×	`rational.json-simplify-1`
1002×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1562
1	223	1546
2	486	1546
3	1029	1546
4	1994	1546
5	3106	1546
6	3558	1546
7	4651	1546
8	5339	1546
9	6209	1546
10	7215	1546

Stop Event

1×	node limit

Counts

46 → 70

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
✓	0.4b	(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 70 to 20 computations (71.4% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

15 calls:

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

rewrite105.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`bool.json-1`
1554×	`bool.json-2`
1516×	`rational.json-1`
1516×	`rational.json-2`
1516×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	158	68
2	440	68
3	938	68
4	2088	68
5	5129	68

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify197.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2250×	`rational.json-simplify-2`
1444×	`rational.json-simplify-26`
1154×	`rational.json-simplify-35`
1020×	`rational.json-simplify-1`
994×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	1967
1	265	1951
2	564	1951
3	1143	1911
4	2344	1891
5	3513	1891
6	4021	1891
7	5140	1891
8	5827	1891
9	6676	1891
10	7669	1891

Stop Event

1×	node limit

Counts

47 → 85

Calls

Call 1

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

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

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
✓	0.2b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
✓	0.2b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
	0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))

Compiler

Compiled 70 to 14 computations (80% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

21 calls:

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

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`bool.json-1`
1680×	`bool.json-2`
1642×	`rational.json-1`
1642×	`rational.json-2`
1234×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	158	83
2	451	83
3	1011	83
4	2334	83
5	5679	83

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify253.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2080×	`rational.json-simplify-2`
1700×	`rational.json-simplify-52`
1606×	`rational.json-simplify-35`
1020×	`rational.json-simplify-26`
794×	`rational.json-simplify-1`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	151	3344
1	337	3336
2	697	3300
3	1438	3208
4	2584	3206
5	3428	3206
6	4051	3200
7	5208	3200
8	5877	3200
9	6208	3200
10	6442	3200
11	7183	3200

Stop Event

1×	node limit

Counts

80 → 110

Calls

Call 1

Inputs
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1)))
(.f64 -1 (.f64 lambda2 (cos.f64 phi2)))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 phi2))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 phi2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (.f64 -1/120 (.f64 (pow.f64 lambda2 5) (cos.f64 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 phi2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 lambda2 7) (cos.f64 phi2))) (.f64 -1/120 (.f64 (pow.f64 lambda2 5) (cos.f64 phi2))))))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(.f64 (sin.f64 (.f64 -1 lambda2)) (cos.f64 phi2))
(sin.f64 (neg.f64 lambda2))
(+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))
(+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 4))) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 2)))))
(+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/24 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 4))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 6))) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 phi2 2))))))
(cos.f64 lambda2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi2 6) (cos.f64 lambda2))) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2))))))
(cos.f64 phi2)
(+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))
(+.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(+.f64 0 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(-.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 0)
(.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
(.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1/2))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 1/2)
(.f64 4 (/.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4) 1/4)
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1/2) 2)
(/.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 2) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) 4))) 16)
(+.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) 0)
(+.f64 0 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)))
(-.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) 0)
(/.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) -2)) 2)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) -4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) -4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) -4))) (.f64 2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) -4)))) 16)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 0)
(+.f64 0 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(-.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 0)
(/.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 1)
(/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) 2)) 2)
(/.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) 4)) (.f64 2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) 4))) 16)

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

eval1.1s (2.5%)

Compiler: Compiled 28711 to 11589 computations (59.6% saved)

prune1.5s (3.3%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1042	25	1067
Fresh	8	6	14
Picked	0	1	1
Done	3	1	4
Total	1053	33	1086

Error

0.4b

Counts

1086 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	21.2b	(+.f64 lambda1 (atan2.f64 (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	19.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
✓	6.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
▶	18.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
▶	16.3b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	21.2b	(+.f64 lambda1 (atan2.f64 (.f64 (neg.f64 lambda2) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	11.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (+.f64 -1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))))
	12.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	20.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (cos.f64 phi2))))))
	20.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	13.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
▶	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (+.f64 -1 (-.f64 1 (cos.f64 lambda2))))))))
	21.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda1))))
	12.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
✓	12.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	19.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))
▶	21.4b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1))))
	21.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 lambda2))))
	28.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	30.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	26.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	26.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
	26.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	21.9b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) (*.f64 -1/2 (pow.f64 phi1 2)))))
	16.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))))
▶	21.7b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	16.2b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	22.1b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda1))))
	22.1b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	29.4b	(+.f64 lambda1 (atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	19.1b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	18.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	26.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))

Compiler

Compiled 1310 to 898 computations (31.5% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 -1 (-.f64 1 (cos.f64 lambda2)))
✓	0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (neg.f64 (+.f64 -1 (-.f64 1 (cos.f64 lambda2))))))
✓	2.0b	(-.f64 1 (cos.f64 lambda2))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 114 to 53 computations (53.5% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`bool.json-1`
1430×	`bool.json-2`
1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	169	69
2	458	57
3	969	45
4	2180	45
5	4974	45

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify233.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2404×	`rational.json-simplify-2`
1870×	`rational.json-simplify-1`
1696×	`rational.json-simplify-35`
1172×	`rational.json-simplify-26`
720×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2542
1	397	2442
2	895	2442
3	1986	2402
4	3307	2402
5	4192	2402
6	5232	2402
7	5992	2402
8	6766	2402
9	7125	2402
10	7279	2402

Stop Event

1×	node limit

Counts

116 → 138

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 lambda2 2))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 1/2 (pow.f64 lambda2 2)))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (*.f64 1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (.f64 -1/40320 (pow.f64 lambda2 8)) (.f64 1/2 (pow.f64 lambda2 2)))))
(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (pow.f64 phi1 2))))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi2 6) (cos.f64 lambda2))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2)))))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
-1
(-.f64 (*.f64 1/2 (pow.f64 lambda2 2)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 1/2 (pow.f64 lambda2 2))) 1)
(-.f64 (+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (*.f64 1/2 (pow.f64 lambda2 2)))) 1)
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(+.f64 (-.f64 1 (cos.f64 lambda2)) 0)
(+.f64 -1 (-.f64 1 (+.f64 -1 (cos.f64 lambda2))))
(+.f64 0 (-.f64 1 (cos.f64 lambda2)))
(+.f64 (-.f64 1 (+.f64 -1 (cos.f64 lambda2))) -1)
(+.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2) (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2))
(*.f64 1 (-.f64 1 (cos.f64 lambda2)))
(*.f64 (-.f64 1 (cos.f64 lambda2)) 1)
(*.f64 -1 (+.f64 -1 (cos.f64 lambda2)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 lambda2)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 2) 1/2)
(*.f64 (+.f64 -1 (cos.f64 lambda2)) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 lambda2)) 2))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2) 2)
(/.f64 (-.f64 1 (cos.f64 lambda2)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 lambda2)) 2) 2)
(/.f64 (+.f64 -1 (cos.f64 lambda2)) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 lambda2)) 4) 4)
(/.f64 (*.f64 2 (+.f64 -1 (cos.f64 lambda2))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 4)) (.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 -1 (cos.f64 lambda2)))) 2)
(neg.f64 (+.f64 -1 (cos.f64 lambda2)))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)
(.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1/2))
(.f64 4 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 2))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1/2) 2)
(/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 2) 2)
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4))) 16)
(-.f64 1 (+.f64 1 (cos.f64 lambda2)))
(-.f64 (-.f64 1 (cos.f64 lambda2)) 1)
(-.f64 -1 (+.f64 -1 (cos.f64 lambda2)))
(-.f64 (neg.f64 (cos.f64 lambda2)) 0)
(-.f64 0 (cos.f64 lambda2))
(-.f64 -2 (+.f64 (+.f64 -1 (cos.f64 lambda2)) -1))
(-.f64 (-.f64 -1 (cos.f64 lambda2)) -1)
(*.f64 1 (neg.f64 (cos.f64 lambda2)))
(*.f64 (neg.f64 (cos.f64 lambda2)) 1)
(*.f64 (cos.f64 lambda2) -1)
(.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 1/2))
(*.f64 4 (/.f64 (neg.f64 (cos.f64 lambda2)) 4))
(.f64 (.f64 (neg.f64 (cos.f64 lambda2)) 2) 1/2)
(.f64 (.f64 (neg.f64 (cos.f64 lambda2)) 4) 1/4)
(.f64 1/2 (.f64 (neg.f64 (cos.f64 lambda2)) 2))
(.f64 (.f64 (neg.f64 (cos.f64 lambda2)) 1/2) 2)
(/.f64 (neg.f64 (cos.f64 lambda2)) 1)
(/.f64 (cos.f64 lambda2) -1)
(/.f64 (*.f64 (neg.f64 (cos.f64 lambda2)) 2) 2)
(/.f64 (*.f64 (neg.f64 (cos.f64 lambda2)) 4) 4)
(/.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 4)) (.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 4))) 16)
(neg.f64 (cos.f64 lambda2))
(cos.f64 (-.f64 (PI.f64) lambda2))
(cos.f64 (-.f64 (PI.f64) (neg.f64 lambda2)))

Outputs
(*.f64 1/2 (pow.f64 lambda2 2))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 1/2 (pow.f64 lambda2 2)))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (.f64 -1/24 (pow.f64 lambda2 4)))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (*.f64 1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (*.f64 1/720 (pow.f64 lambda2 6))))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (*.f64 1/720 (pow.f64 lambda2 6))))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (.f64 -1/40320 (pow.f64 lambda2 8)) (.f64 1/2 (pow.f64 lambda2 2)))))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (.f64 -1/40320 (pow.f64 lambda2 8))) (.f64 1/720 (pow.f64 lambda2 6))))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 -1/40320 (pow.f64 lambda2 8)))))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (.f64 1/720 (pow.f64 lambda2 6))) (.f64 -1/40320 (pow.f64 lambda2 8))))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (.f64 -1/40320 (pow.f64 lambda2 8)))))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/40320 (pow.f64 lambda2 8)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 1/720 (pow.f64 lambda2 6)))))
(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (*.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 -1/2 (pow.f64 phi1 2))))))
(+.f64 1 (+.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4)))) (.f64 -1/720 (pow.f64 phi1 6))))
(+.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4)))) (+.f64 1 (.f64 -1/720 (pow.f64 phi1 6))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 1/24 (pow.f64 phi1 4))) (.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 1/24 (pow.f64 phi1 4))))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (cos.f64 lambda2) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2))))))
(+.f64 (cos.f64 phi1) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi2 4)))) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi2 2)))))
(+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4))) (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) (*.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 lambda2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi2 6) (cos.f64 lambda2))) (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (pow.f64 phi2 4) (cos.f64 lambda2)))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 phi2 2))) (+.f64 (cos.f64 phi1) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi2 4)))) (.f64 -1/720 (.f64 (cos.f64 lambda2) (pow.f64 phi2 6))))))
(+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/720 (pow.f64 phi2 6))) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (+.f64 (+.f64 (cos.f64 lambda2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4)))) (.f64 (cos.f64 lambda2) (.f64 -1/720 (pow.f64 phi2 6)))))
(+.f64 (+.f64 (+.f64 (cos.f64 lambda2) (cos.f64 phi1)) (.f64 (cos.f64 lambda2) (.f64 1/24 (pow.f64 phi2 4)))) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (*.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (+.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 1/24 (.f64 (cos.f64 lambda2) (pow.f64 phi2 4))))) (.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/720 (pow.f64 phi2 6)) (*.f64 -1/2 (pow.f64 phi2 2)))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2))))))
(+.f64 (cos.f64 phi1) (+.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24))) (cos.f64 phi2)))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24)))))
(+.f64 (+.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24))))
(+.f64 (+.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 4) 1/24) (*.f64 (pow.f64 lambda2 2) -1/2))))
(+.f64 (+.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 2) -1/2) (*.f64 (pow.f64 lambda2 4) 1/24))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 2) -1/2) (*.f64 (pow.f64 lambda2 4) 1/24)))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 phi2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 lambda2 6) (cos.f64 phi2))) (.f64 1/24 (.f64 (pow.f64 lambda2 4) (cos.f64 phi2)))))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (+.f64 (+.f64 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24)) (.f64 (pow.f64 lambda2 6) (.f64 (cos.f64 phi2) -1/720))) (cos.f64 phi1))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (+.f64 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24)) (.f64 (pow.f64 lambda2 6) (.f64 (cos.f64 phi2) -1/720))))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 6) -1/720)))))
(+.f64 (+.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 6) -1/720) (*.f64 (pow.f64 lambda2 2) -1/2)))))
(+.f64 (+.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) 1/24)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 2) -1/2) (*.f64 (pow.f64 lambda2 6) -1/720)))))
(+.f64 (cos.f64 phi2) (+.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) -1/2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 6) -1/720) (*.f64 (pow.f64 lambda2 4) 1/24))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
-1
(-.f64 (*.f64 1/2 (pow.f64 lambda2 2)) 1)
(+.f64 (*.f64 1/2 (pow.f64 lambda2 2)) -1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 1/2 (pow.f64 lambda2 2))) 1)
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (-.f64 (.f64 -1/24 (pow.f64 lambda2 4)) 1))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) -1))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (*.f64 1/2 (pow.f64 lambda2 2)))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (.f64 -1/24 (pow.f64 lambda2 4))) (-.f64 (*.f64 1/720 (pow.f64 lambda2 6)) 1))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (.f64 -1/24 (pow.f64 lambda2 4))) (+.f64 (*.f64 1/720 (pow.f64 lambda2 6)) -1))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) -1) (*.f64 1/720 (pow.f64 lambda2 6))))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (*.f64 -1/24 (pow.f64 lambda2 4)) -1)))
(+.f64 (.f64 1/2 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (*.f64 1/720 (pow.f64 lambda2 6)) -1)))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(*.f64 -1 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(+.f64 (-.f64 1 (cos.f64 lambda2)) 0)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(+.f64 -1 (-.f64 1 (+.f64 -1 (cos.f64 lambda2))))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(+.f64 0 (-.f64 1 (cos.f64 lambda2)))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(+.f64 (-.f64 1 (+.f64 -1 (cos.f64 lambda2))) -1)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(+.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2) (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(*.f64 1 (-.f64 1 (cos.f64 lambda2)))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(*.f64 (-.f64 1 (cos.f64 lambda2)) 1)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(*.f64 -1 (+.f64 -1 (cos.f64 lambda2)))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 lambda2)) 4))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 2) 1/2)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(*.f64 (+.f64 -1 (cos.f64 lambda2)) -1)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 4) 1/4)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 lambda2)) 2))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda2)) 1/2) 2)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (-.f64 1 (cos.f64 lambda2)) 1)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 lambda2)) 2) 2)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (+.f64 -1 (cos.f64 lambda2)) -1)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 lambda2)) 4) 4)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (*.f64 2 (+.f64 -1 (cos.f64 lambda2))) -2)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 4)) 8)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 4)) (.f64 2 (.f64 (-.f64 1 (cos.f64 lambda2)) 4))) 16)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(/.f64 (neg.f64 (*.f64 2 (+.f64 -1 (cos.f64 lambda2)))) 2)
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(neg.f64 (+.f64 -1 (cos.f64 lambda2)))
(+.f64 1 (neg.f64 (cos.f64 lambda2)))
(-.f64 1 (cos.f64 lambda2))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 0)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 1 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 2 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1/2))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 4 (/.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 2) 1/2)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4) 1/4)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 1/2 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 2))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(.f64 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1/2) 2)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(/.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 1)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 2) 2)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4) 4)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4)) 8)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) 4))) 16)
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(-.f64 1 (+.f64 1 (cos.f64 lambda2)))
(neg.f64 (cos.f64 lambda2))
(-.f64 (-.f64 1 (cos.f64 lambda2)) 1)
(neg.f64 (cos.f64 lambda2))
(-.f64 -1 (+.f64 -1 (cos.f64 lambda2)))
(neg.f64 (cos.f64 lambda2))
(-.f64 (neg.f64 (cos.f64 lambda2)) 0)
(neg.f64 (cos.f64 lambda2))
(-.f64 0 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(-.f64 -2 (+.f64 (+.f64 -1 (cos.f64 lambda2)) -1))
(neg.f64 (cos.f64 lambda2))
(-.f64 (-.f64 -1 (cos.f64 lambda2)) -1)
(neg.f64 (cos.f64 lambda2))
(*.f64 1 (neg.f64 (cos.f64 lambda2)))
(neg.f64 (cos.f64 lambda2))
(*.f64 (neg.f64 (cos.f64 lambda2)) 1)
(neg.f64 (cos.f64 lambda2))
(*.f64 (cos.f64 lambda2) -1)
(neg.f64 (cos.f64 lambda2))
(.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 1/2))
(neg.f64 (cos.f64 lambda2))
(*.f64 4 (/.f64 (neg.f64 (cos.f64 lambda2)) 4))
(neg.f64 (cos.f64 lambda2))
(.f64 (.f64 (neg.f64 (cos.f64 lambda2)) 2) 1/2)
(neg.f64 (cos.f64 lambda2))
(.f64 (.f64 (neg.f64 (cos.f64 lambda2)) 4) 1/4)
(neg.f64 (cos.f64 lambda2))
(.f64 1/2 (.f64 (neg.f64 (cos.f64 lambda2)) 2))
(neg.f64 (cos.f64 lambda2))
(.f64 (.f64 (neg.f64 (cos.f64 lambda2)) 1/2) 2)
(neg.f64 (cos.f64 lambda2))
(/.f64 (neg.f64 (cos.f64 lambda2)) 1)
(neg.f64 (cos.f64 lambda2))
(/.f64 (cos.f64 lambda2) -1)
(neg.f64 (cos.f64 lambda2))
(/.f64 (*.f64 (neg.f64 (cos.f64 lambda2)) 2) 2)
(neg.f64 (cos.f64 lambda2))
(/.f64 (*.f64 (neg.f64 (cos.f64 lambda2)) 4) 4)
(neg.f64 (cos.f64 lambda2))
(/.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 4)) 8)
(neg.f64 (cos.f64 lambda2))
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 4)) (.f64 2 (.f64 (neg.f64 (cos.f64 lambda2)) 4))) 16)
(neg.f64 (cos.f64 lambda2))
(neg.f64 (cos.f64 lambda2))
(cos.f64 (-.f64 (PI.f64) lambda2))
(neg.f64 (cos.f64 lambda2))
(cos.f64 (-.f64 (PI.f64) (neg.f64 lambda2)))
(neg.f64 (cos.f64 lambda2))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
✓	0.7b	(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)
	2.2b	(cos.f64 (-.f64 lambda2 lambda1))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 51 to 18 computations (64.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`bool.json-1`
1380×	`bool.json-2`
1340×	`rational.json-1`
1340×	`rational.json-2`
1340×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	125	50
2	357	50
3	755	50
4	1687	50
5	4329	50

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify252.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1906×	`rational.json-simplify-51`
1602×	`rational.json-simplify-35`
1148×	`rational.json-simplify-26`
998×	`rational.json-simplify-1`
992×	`rational.json-simplify-2`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	124	2513
1	274	2491
2	665	2481
3	1331	2461
4	2313	2461
5	3120	2461
6	4282	2461
7	5041	2461
8	5583	2461
9	6298	2419

Stop Event

1×	node limit

Counts

83 → 85

Calls

Call 1

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

Outputs
(+.f64 1 (cos.f64 (neg.f64 lambda1)))
(+.f64 1 (cos.f64 lambda1))
(+.f64 1 (+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))))
(+.f64 1 (+.f64 (cos.f64 lambda1) (.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 lambda1)) (neg.f64 lambda2)) (+.f64 1 (cos.f64 lambda1)))
(+.f64 1 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 (sin.f64 lambda1) 1))))
(+.f64 1 (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 1 (+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 lambda1) -1/2)) (cos.f64 lambda1))))
(+.f64 (cos.f64 lambda1) (+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (neg.f64 lambda2)) (.f64 (cos.f64 lambda1) (*.f64 (pow.f64 lambda2 2) -1/2)))))
(+.f64 1 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) 1)) (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))))))
(+.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2)))))
(+.f64 1 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (*.f64 -1/2 (pow.f64 lambda2 2))))))
(+.f64 1 (+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3))) (+.f64 (.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 lambda1) -1/2)) (cos.f64 lambda1)))))
(+.f64 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (neg.f64 lambda2)) (.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) -1/2)))) (-.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (*.f64 (pow.f64 lambda2 3) 1/6)) -1))
(+.f64 1 (+.f64 (cos.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) 1)) (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 lambda1) -1/6))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3)))))))
(+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (+.f64 1 (.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3)))))))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 1 (cos.f64 lambda2))
(+.f64 1 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 1 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 1 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2))))))
(+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (+.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 1 (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) -1/6))))
(+.f64 1 (+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (sin.f64 lambda2)))))
(+.f64 1 (+.f64 (cos.f64 lambda2) (+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3))))))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 (sin.f64 lambda2) (.f64 -1/6 (pow.f64 lambda1 3))) (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (+.f64 1 (.f64 (cos.f64 lambda2) (*.f64 -1/2 (pow.f64 lambda1 2)))))))
(+.f64 (+.f64 1 (cos.f64 lambda2)) (+.f64 (+.f64 (.f64 lambda1 (sin.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3)))))
(+.f64 1 (+.f64 (+.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (.f64 (sin.f64 lambda2) (+.f64 (.f64 -1/6 (pow.f64 lambda1 3)) lambda1))))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) 1)
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) 1)
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) 1)
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) 1)
(+.f64 1 (cos.f64 (+.f64 lambda1 (*.f64 -1 lambda2))))
(+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2)) 1))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(atan2.f64 (sin.f64 (+.f64 (.f64 -1 lambda2) lambda1)) (+.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(atan2.f64 (neg.f64 (sin.f64 (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda1) lambda2))))
(atan2.f64 (sin.f64 (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 1 (cos.f64 (+.f64 lambda1 (neg.f64 lambda2)))))
(-.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 0)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 1 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 2 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 2) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4) 1/4)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 2))
(.f64 1/2 (+.f64 2 (.f64 2 (cos.f64 (-.f64 lambda2 lambda1)))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2) 2)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4) 4)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 2) 2)
(/.f64 (+.f64 2 (*.f64 2 (cos.f64 (-.f64 lambda2 lambda1)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4) 4)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4)) 8)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 4))) 16)
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 0)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 0 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 0)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 1/2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 4 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 2) 1/2)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4) 1/4)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 1/2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 2))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 1/4 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(.f64 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 1/2) 2)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4) 4)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 1)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 2) 2)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (*.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4) 4)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4)) 8)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4)) (.f64 2 (.f64 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)) 4))) 16)
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))
✓	0.5b	(+.f64 1 (cos.f64 phi1))
	2.2b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 57 to 19 computations (66.7% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	phi1	@	0	(+.f64 1 (cos.f64 phi1))
0.0ms	lambda1	@	-inf	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))
0.0ms	lambda2	@	-inf	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))
0.0ms	lambda2	@	inf	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))
0.0ms	phi2	@	0	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi1)))

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`bool.json-1`
1542×	`bool.json-2`
1504×	`rational.json-1`
1504×	`rational.json-2`
1504×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	157	48
2	439	48
3	936	48
4	2089	48
5	5063	48

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify157.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2044×	`rational.json-simplify-2`
1460×	`rational.json-simplify-35`
1438×	`rational.json-simplify-26`
946×	`rational.json-simplify-51`
794×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	1265
1	173	1249
2	371	1249
3	842	1249
4	1852	1249
5	2930	1249
6	3396	1249
7	4501	1249
8	5152	1249
9	5960	1249
10	6868	1249

Stop Event

1×	node limit

Counts

43 → 51

Calls

Call 1

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

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

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
	0.2b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
	0.5b	(+.f64 (cos.f64 phi1) (cos.f64 lambda2))

Compiler

Compiled 56 to 13 computations (76.8% saved)

series4.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`bool.json-1`
1630×	`bool.json-2`
1592×	`rational.json-1`
1592×	`rational.json-2`
1200×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	148	39
2	431	39
3	972	39
4	2317	39
5	5548	39

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify189.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1848×	`rational.json-simplify-52`
1586×	`rational.json-simplify-35`
1520×	`rational.json-simplify-1`
1016×	`rational.json-simplify-26`
978×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	820
1	98	780
2	219	780
3	490	780
4	1030	780
5	2038	780
6	2728	780
7	3393	780
8	3844	780
9	4200	780
10	4562	780
11	5003	780
12	5568	780
13	6498	780

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(-.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 1/2)
(.f64 4 (/.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 1/4)
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) 2)
(/.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))) 16)

Outputs
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(-.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 0)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 1 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 1/2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 4 (/.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 1/4)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1/2) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(/.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 1)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 2) 2)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4) 4)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4)) 8)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))) 4))) 16)
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (cos.f64 lambda2))
	0.2b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
✓	0.2b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))
	0.4b	(+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))

Compiler

Compiled 65 to 20 computations (69.2% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`bool.json-1`
1574×	`bool.json-2`
1532×	`rational.json-1`
1532×	`rational.json-2`
1532×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	153	45
2	435	45
3	949	45
4	2202	45
5	5289	45

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify218.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-35`
1490×	`rational.json-simplify-1`
1308×	`rational.json-simplify-26`
1056×	`rational.json-simplify-2`
1012×	`rational.json-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	940
1	97	900
2	212	900
3	474	900
4	999	900
5	1965	900
6	2624	900
7	3251	900
8	3674	900
9	4009	900
10	4328	900
11	4776	900
12	5391	900
13	6341	900
14	7545	900

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

eval309.0ms (0.7%)

Compiler: Compiled 21406 to 9924 computations (53.6% saved)

prune462.0ms (1%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	842	20	862
Fresh	12	14	26
Picked	0	1	1
Done	3	3	6
Total	857	38	895

Error

0.4b

Counts

895 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	24.6b	(+.f64 lambda1 (atan2.f64 (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	23.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 (pow.f64 lambda2 2) (*.f64 -1/2 (cos.f64 phi2))))))
	19.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
✓	6.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
✓	18.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
✓	16.3b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	22.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2))))
	22.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 lambda2))))
	21.2b	(+.f64 lambda1 (atan2.f64 (.f64 (neg.f64 lambda2) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	25.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (neg.f64 lambda2) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	24.1b	(+.f64 lambda1 (atan2.f64 (.f64 (neg.f64 lambda2) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	12.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (+.f64 -1 (-.f64 1 (cos.f64 lambda2))))))))
	27.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (+.f64 (-.f64 1 (sin.f64 (-.f64 lambda2 lambda1))) -1)) (+.f64 1 (cos.f64 phi1))))
	12.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	20.7b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	13.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))
	21.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (cos.f64 lambda1))))
	23.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 2 (.f64 -1/2 (pow.f64 phi1 2)))))
	12.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
✓	12.7b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	19.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))
	24.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) 2))
	28.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))))
	30.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	6.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (neg.f64 (+.f64 -1 (-.f64 1 (cos.f64 lambda2))))))))
	26.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
	27.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (+.f64 1 (cos.f64 phi1))))
	22.1b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1)))
	22.1b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))
	24.8b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda1) 1)))
	22.5b	(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1))))
	29.4b	(+.f64 lambda1 (atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	29.7b	(+.f64 lambda1 (atan2.f64 (sin.f64 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))
	18.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	19.1b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))
	23.4b	(+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	26.6b	(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
	28.5b	(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))

Compiler

Compiled 746 to 523 computations (29.9% saved)

regimes524.0ms (1.2%)

Counts

76 → 1

Calls

Call 1

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

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:

113.0ms	(cos.f64 phi2)
100.0ms	(+.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))))))
97.0ms	phi2
89.0ms	(cos.f64 phi1)
34.0ms	lambda2

Results

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

Compiler

Compiled 1402 to 436 computations (68.9% saved)

regimes4.1s (9.2%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.9s	phi2
1.9s	(cos.f64 phi2)
123.0ms	lambda2
94.0ms	phi1
28.0ms	lambda1

Results

Error	Segments	Branch
1.1b	1	`lambda1`
1.1b	1	`lambda2`
1.1b	1	`phi1`
1.1b	1	`phi2`
1.1b	1	`(cos.f64 phi2)`
1.1b	1	`(cos.f64 phi1)`

Compiler

Compiled 861 to 259 computations (69.9% saved)

regimes1.9s (4.2%)

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

855.0ms	(cos.f64 phi2)
395.0ms	lambda2
390.0ms	phi2
121.0ms	(cos.f64 phi1)
72.0ms	phi1

Results

Error	Segments	Branch
5.8b	2	`lambda1`
1.2b	3	`lambda2`
2.8b	3	`phi1`
2.6b	4	`phi2`
3.7b	2	`(cos.f64 phi2)`
2.8b	2	`(cos.f64 phi1)`

Compiler

Compiled 824 to 255 computations (69.1% saved)

bsearch683.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
675.0ms	3.477465594211647e-141	2.5147442018890746e-131
8.0ms	-1.878658334919248e-22	-2.3399742870126476e-24

Results

454.0ms	46×	body	512	valid
140.0ms	77×	body	1024	valid
86.0ms	53×	body	256	valid

Compiler

Compiled 493 to 328 computations (33.5% saved)

regimes2.1s (4.7%)

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

1.1s	phi1
699.0ms	(cos.f64 phi1)
142.0ms	phi2
68.0ms	lambda2
63.0ms	lambda1

Results

Error	Segments	Branch
10.7b	3	`lambda1`
7.0b	3	`lambda2`
6.2b	3	`phi1`
6.4b	3	`phi2`
6.4b	2	`(cos.f64 phi2)`
6.1b	2	`(cos.f64 phi1)`

Compiler

Compiled 789 to 251 computations (68.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9958051089498464	0.9960383145601761

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes350.0ms (0.8%)

Counts

47 → 4

Calls

Call 1

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

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

Calls

6 calls:

80.0ms	phi1
77.0ms	phi2
58.0ms	lambda2
58.0ms	lambda1
33.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
11.3b	3	`lambda1`
7.0b	3	`lambda2`
6.7b	3	`phi1`
5.5b	4	`phi2`
6.6b	2	`(cos.f64 phi2)`
6.7b	2	`(cos.f64 phi1)`

Compiler

Compiled 712 to 230 computations (67.7% saved)

bsearch233.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
107.0ms	4.768272250605505e+183	3.304415474242162e+192
58.0ms	4.110447635952261e-20	1.4610601533302046e-18
67.0ms	-0.0005301600338029286	-8.644918279058954e-9

Results

171.0ms	224×	body	1024	valid
27.0ms	58×	body	512	valid
22.0ms	97×	body	256	valid
7.0ms	5×	body	2048	valid

Compiler

Compiled 1024 to 692 computations (32.4% saved)

regimes255.0ms (0.6%)

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

55.0ms	phi1
55.0ms	lambda2
55.0ms	phi2
30.0ms	(cos.f64 phi2)
28.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
13.9b	1	`lambda1`
7.0b	3	`lambda2`
9.7b	3	`phi1`
7.0b	3	`phi2`
7.3b	2	`(cos.f64 phi2)`
10.2b	2	`(cos.f64 phi1)`

Compiler

Compiled 678 to 224 computations (67% saved)

bsearch277.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
185.0ms	163590444394804400.0	8.925171276005565e+21
91.0ms	-647800278187812700.0	-10363085.682594502

Results

221.0ms	142×	body	1024	valid
29.0ms	61×	body	512	valid
21.0ms	85×	body	256	valid

Compiler

Compiled 749 to 514 computations (31.4% saved)

regimes683.0ms (1.5%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

235.0ms	lambda2
216.0ms	phi2
122.0ms	(cos.f64 phi1)
52.0ms	phi1
28.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
13.9b	1	`lambda1`
8.0b	3	`lambda2`
12.9b	2	`phi1`
7.3b	3	`phi2`
7.3b	2	`(cos.f64 phi2)`
13.9b	1	`(cos.f64 phi1)`

Compiler

Compiled 611 to 208 computations (66% saved)

bsearch249.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	10687.211234470296	1480162.8776409985
182.0ms	-1.988163185996311e+22	-12860914.710999545

Results

134.0ms	131×	body	256	valid
87.0ms	105×	body	1024	valid
16.0ms	32×	body	512	valid
7.0ms	4×	body	2048	valid

Compiler

Compiled 694 to 462 computations (33.4% saved)

regimes1.2s (2.6%)

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

779.0ms	lambda1
190.0ms	phi1
80.0ms	lambda2
48.0ms	phi2
30.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
13.4b	3	`lambda1`
11.6b	5	`lambda2`
12.3b	3	`phi1`
9.4b	3	`phi2`
10.0b	2	`(cos.f64 phi2)`
13.1b	2	`(cos.f64 phi1)`

Compiler

Compiled 564 to 202 computations (64.2% saved)

bsearch260.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	1480162.8776409985	1988223.7986841737
152.0ms	-1.988163185996311e+22	-12860914.710999545

Results

192.0ms	117×	body	256	valid
46.0ms	59×	body	1024	valid
14.0ms	29×	body	512	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 525 to 358 computations (31.8% saved)

regimes279.0ms (0.6%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

94.0ms	lambda1
44.0ms	phi1
42.0ms	phi2
42.0ms	lambda2
25.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
15.8b	1	`lambda1`
12.9b	3	`lambda2`
12.5b	3	`phi1`
10.0b	3	`phi2`
10.0b	2	`(cos.f64 phi2)`
13.4b	2	`(cos.f64 phi1)`

Compiler

Compiled 490 to 189 computations (61.4% saved)

bsearch152.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1480162.8776409985	1988223.7986841737
129.0ms	-1.988163185996311e+22	-12860914.710999545

Results

71.0ms	105×	body	256	valid
59.0ms	73×	body	1024	valid
17.0ms	29×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 525 to 358 computations (31.8% saved)

regimes203.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

120.0ms	phi2
31.0ms	phi1
16.0ms	(cos.f64 phi2)
11.0ms	lambda1
10.0ms	lambda2

Results

Error	Segments	Branch
15.8b	1	`lambda1`
15.8b	1	`lambda2`
14.4b	3	`phi1`
12.4b	3	`phi2`
12.4b	2	`(cos.f64 phi2)`
15.8b	1	`(cos.f64 phi1)`

Compiler

Compiled 301 to 123 computations (59.1% saved)

bsearch102.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1480162.8776409985	1988223.7986841737
77.0ms	-1.988163185996311e+22	-12860914.710999545

Results

57.0ms	71×	body	1024	valid
27.0ms	108×	body	256	valid
15.0ms	29×	body	512	valid

Compiler

Compiled 512 to 358 computations (30.1% saved)

regimes103.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

29.0ms	phi1
26.0ms	phi2
16.0ms	(cos.f64 phi2)
9.0ms	lambda1
9.0ms	lambda2

Results

Error	Segments	Branch
16.2b	1	`lambda1`
16.2b	1	`lambda2`
14.7b	3	`phi1`
12.8b	3	`phi2`
12.8b	2	`(cos.f64 phi2)`
16.2b	1	`(cos.f64 phi1)`

Compiler

Compiled 259 to 113 computations (56.4% saved)

bsearch106.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1480162.8776409985	1988223.7986841737
81.0ms	-1.988163185996311e+22	-12860914.710999545

Results

59.0ms	74×	body	1024	valid
25.0ms	105×	body	256	valid
14.0ms	27×	body	512	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 486 to 345 computations (29% saved)

regimes57.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	(cos.f64 phi2)
9.0ms	phi1
8.0ms	phi2
8.0ms	lambda1
8.0ms	lambda2

Results

Error	Segments	Branch
16.2b	1	`lambda1`
16.2b	1	`lambda2`
16.2b	1	`phi1`
16.2b	1	`phi2`
15.2b	2	`(cos.f64 phi2)`
16.2b	1	`(cos.f64 phi1)`

Compiler

Compiled 232 to 105 computations (54.7% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	0.06566958050094268	0.07183224136244276

Results

3.0ms	5×	body	1024	valid
2.0ms	6×	body	256	valid
2.0ms	4×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes67.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

17.0ms	phi1
17.0ms	lambda2
10.0ms	(cos.f64 phi2)
9.0ms	(cos.f64 phi1)
6.0ms	lambda1

Results

Error	Segments	Branch
19.1b	1	`lambda1`
15.8b	3	`lambda2`
17.5b	3	`phi1`
19.1b	1	`phi2`
18.0b	2	`(cos.f64 phi2)`
17.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 156 to 83 computations (46.8% saved)

bsearch176.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	3.477465594211647e-141	2.5147442018890746e-131
91.0ms	-647800278187812700.0	-10363085.682594502

Results

113.0ms	143×	body	1024	valid
31.0ms	68×	body	512	valid
28.0ms	109×	body	256	valid

Compiler

Compiled 691 to 500 computations (27.6% saved)

regimes122.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

63.0ms	lambda1
16.0ms	lambda2
15.0ms	phi1
10.0ms	(cos.f64 phi1)
9.0ms	(cos.f64 phi2)

Results

Error	Segments	Branch
19.1b	1	`lambda1`
16.2b	3	`lambda2`
17.5b	3	`phi1`
19.1b	1	`phi2`
18.0b	2	`(cos.f64 phi2)`
17.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 144 to 80 computations (44.4% saved)

bsearch331.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
137.0ms	3.477465594211647e-141	2.5147442018890746e-131
193.0ms	-647800278187812700.0	-10363085.682594502

Results

191.0ms	154×	body	1024	valid
85.0ms	78×	body	512	valid
51.0ms	88×	body	256	valid

Compiler

Compiled 671 to 500 computations (25.5% saved)

regimes59.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	phi1
14.0ms	lambda2
9.0ms	(cos.f64 phi2)
7.0ms	(cos.f64 phi1)
5.0ms	phi2

Results

Error	Segments	Branch
21.7b	1	`lambda1`
19.4b	3	`lambda2`
19.1b	3	`phi1`
21.7b	1	`phi2`
20.6b	2	`(cos.f64 phi2)`
19.1b	2	`(cos.f64 phi1)`

Compiler

Compiled 121 to 72 computations (40.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9872572788943481	0.9945070625842032

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes123.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

87.0ms	lambda2
12.0ms	phi1
7.0ms	(cos.f64 phi1)
7.0ms	(cos.f64 phi2)
4.0ms	phi2

Results

Error	Segments	Branch
22.1b	1	`lambda1`
19.4b	3	`lambda2`
19.5b	3	`phi1`
22.1b	1	`phi2`
21.0b	2	`(cos.f64 phi2)`
19.5b	2	`(cos.f64 phi1)`

Compiler

Compiled 91 to 59 computations (35.2% saved)

bsearch556.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
292.0ms	163590444394804400.0	8.925171276005565e+21
264.0ms	-1.2160922460384032e+68	-2.320111396227487e+62

Results

501.0ms	148×	body	1024	valid
40.0ms	82×	body	512	valid
11.0ms	42×	body	256	valid

Compiler

Compiled 575 to 428 computations (25.6% saved)

regimes19.0ms (0%)

Accuracy

Total -6.5b remaining (-29%)

Threshold costs -6.5b (-29%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(+.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 1 (cos.f64 phi1))))

Calls

5 calls:

4.0ms	lambda2
3.0ms	lambda1
3.0ms	phi1
3.0ms	phi2
3.0ms	(cos.f64 phi1)

Results

Error	Segments	Branch
22.5b	1	`lambda1`
22.5b	1	`lambda2`
22.5b	1	`phi1`
22.5b	1	`phi2`
22.5b	1	`(cos.f64 phi1)`

Compiler

Compiled 63 to 44 computations (30.2% saved)

simplify21.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	2126

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 phi2) (cos.f64 lambda2)))))
(if (<=.f64 lambda2 -4253529586511731/42535295865117307932921825928971026432) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 1248699420126397/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 (cos.f64 phi1) 2242792614430507/2251799813685248) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(if (<=.f64 phi2 -4722366482869645/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 phi2 1882207611218875/1298074214633706907132624082305024) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (if (<=.f64 phi2 185000000000000009466160321934301451822573013010155356692412778084094443286023850391007659657740101382139163592181781007921950117269062725150731218022708093675195071957384121269151049036333056) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(if (<=.f64 lambda2 -10500000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 170000000000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 phi2 -13000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 11000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 phi2 -13000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 phi2 -13000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 phi2 -80000000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 phi2 -42000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 (cos.f64 phi2) 1188950301625811/18014398509481984) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 lambda2 -10500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 1248699420126397/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 lambda2 -10500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 5993757216606705/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 (cos.f64 phi1) 4458563631096791/4503599627370496) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))))
(if (<=.f64 lambda2 -239999999999999999270894012945443576537562558239179508602109952) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1))) (if (<=.f64 lambda2 170000000000000000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 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 phi2) (cos.f64 lambda2)))))
(if (<=.f64 lambda2 -4253529586511731/42535295865117307932921825928971026432) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 1248699420126397/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 (cos.f64 phi1) 2242792614430507/2251799813685248) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(if (<=.f64 phi2 -4722366482869645/147573952589676412928) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 phi2 1882207611218875/1298074214633706907132624082305024) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (if (<=.f64 phi2 185000000000000009466160321934301451822573013010155356692412778084094443286023850391007659657740101382139163592181781007921950117269062725150731218022708093675195071957384121269151049036333056) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(if (<=.f64 lambda2 -10500000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 170000000000000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 phi2 -13000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 11000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(if (<=.f64 phi2 -13000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 (cos.f64 phi2) (cos.f64 phi1)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 phi2 -13000000) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 phi2 -80000000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 phi2 -42000000) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2)))) (if (<=.f64 phi2 1500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (+.f64 1 (cos.f64 phi2))))))
(if (<=.f64 (cos.f64 phi2) 1188950301625811/18014398509481984) (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(if (<=.f64 lambda2 -10500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 1248699420126397/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 lambda2 -10500000) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 5993757216606705/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 (cos.f64 phi1) 4458563631096791/4503599627370496) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1))))
(if (<=.f64 lambda2 -239999999999999999270894012945443576537562558239179508602109952) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1))) (if (<=.f64 lambda2 170000000000000000) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1)))) (+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 lambda2) 1)))))
(+.f64 lambda1 (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (sin.f64 lambda1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))

Compiler

Compiled 783 to 417 computations (46.7% saved)

soundness0.0ms (0%)

end253.0ms (0.6%)

Compiler: Compiled 715 to 206 computations (71.2% saved)